Atkin-Lehner |
2+ 3+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
69696l |
Isogeny class |
Conductor |
69696 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
267028634668105728 = 222 · 33 · 119 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -2 11- 2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-675180,-212086864] |
[a1,a2,a3,a4,a6] |
j |
2714704875/21296 |
j-invariant |
L |
0.66651526083661 |
L(r)(E,1)/r! |
Ω |
0.16662881247966 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69696ef1 2178g1 69696k3 6336b1 |
Quadratic twists by: -4 8 -3 -11 |