Atkin-Lehner |
2+ 5+ 17+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
50150b |
Isogeny class |
Conductor |
50150 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3.585963344896E+30 |
Discriminant |
Eigenvalues |
2+ 0 5+ 4 0 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-36272977792,-2657457704976384] |
[a1,a2,a3,a4,a6] |
Generators |
[-8179207642521457750956263509424243984372246155896360336507300943200389060354790845573647167848631056114916076831942355146269085503912577456205:76726329263630534373260012544548437137739534920927361948000327907556800655112299888066529278549435865199287420723870023523268710176612283419127:73496294227262649692396303058320062463547163263516649482443925923557237831155607198629745972038482773406728778173486611862843735580510917] |
Generators of the group modulo torsion |
j |
337795077148366619402479148716881/229501654073344000000000000 |
j-invariant |
L |
4.7384715816351 |
L(r)(E,1)/r! |
Ω |
0.010940104330196 |
Real period |
R |
216.56427757075 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
10030l2 |
Quadratic twists by: 5 |