Atkin-Lehner |
2- 3+ 5+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
75840bp |
Isogeny class |
Conductor |
75840 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1717450089431040000 = 226 · 38 · 54 · 792 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -4 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-54604801,-155289976415] |
[a1,a2,a3,a4,a6] |
Generators |
[-29601169370750855178469612457227:-134523113955791809432220467200:6937256158552934554293832481] |
Generators of the group modulo torsion |
j |
68687274545774837740801/6551552160000 |
j-invariant |
L |
4.5031019036543 |
L(r)(E,1)/r! |
Ω |
0.055538206294103 |
Real period |
R |
40.540577405255 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002718 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
75840v2 18960w2 |
Quadratic twists by: -4 8 |