Atkin-Lehner |
2- 3- 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
114240ko |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
640 |
Product of Tamagawa factors cp |
Δ |
253914393600000000 = 216 · 35 · 58 · 74 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-393345,-91937025] |
[a1,a2,a3,a4,a6] |
Generators |
[-345:1680:1] |
Generators of the group modulo torsion |
j |
102698898986742916/3874426171875 |
j-invariant |
L |
10.594849409292 |
L(r)(E,1)/r! |
Ω |
0.19107922184456 |
Real period |
R |
0.34654635937361 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000019013 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240bm4 28560f4 |
Quadratic twists by: -4 8 |