Atkin-Lehner |
2+ 5+ 17+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
50150b |
Isogeny class |
Conductor |
50150 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
9.9844697570938E+27 |
Discriminant |
Eigenvalues |
2+ 0 5+ 4 0 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-580272977792,-170136017704976384] |
[a1,a2,a3,a4,a6] |
Generators |
[-452796382299877106784348841030668065066087372918359756623013340268538442962004913935654356709620714417355901161435950995240943824762342912036353366827334669038668942064576538323944708691764686798184338586846369865901192301754678078403026286997016887724307732204807531891921207001673217205:234632984302111260079591379356742716228794715471842086433618794639616579358934158886254801372039020720418498666188604627550151104447423435563824585103765702908580897112575339845384909309088413907180175183865067739794134333516489756953445911876896617058429599196972471827586678862484932527:1029554538417688172762692298031655019708026651344400605571444003208491517815032955209188278619445284456969808028789530884510641012805247638641108802941540964087198320768048941399865868248952174131554195168533315159109413343938403854780256250840833883722320786121371221653809436142317] |
Generators of the group modulo torsion |
j |
1382931682931415416715246073388716881/639006064454004992000000 |
j-invariant |
L |
4.7384715816351 |
L(r)(E,1)/r! |
Ω |
0.005470052165098 |
Real period |
R |
433.12855514151 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10030l3 |
Quadratic twists by: 5 |