Atkin-Lehner |
2- 3+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
75504bf |
Isogeny class |
Conductor |
75504 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
268625337552 = 24 · 36 · 116 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 11- 13+ 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1613,1080] |
[a1,a2,a3,a4,a6] |
Generators |
[114296:516456:2197] |
Generators of the group modulo torsion |
j |
16384000/9477 |
j-invariant |
L |
6.3964269311621 |
L(r)(E,1)/r! |
Ω |
0.8298494286369 |
Real period |
R |
7.7079367773919 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000741 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18876h1 624g1 |
Quadratic twists by: -4 -11 |