Atkin-Lehner |
2+ 3+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
40368h |
Isogeny class |
Conductor |
40368 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1372800 |
Modular degree for the optimal curve |
Δ |
85533154854912 = 211 · 310 · 294 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -1 2 -2 7 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-26212568,-51646275696] |
[a1,a2,a3,a4,a6] |
j |
1375088009512735250/59049 |
j-invariant |
L |
1.6013394485018 |
L(r)(E,1)/r! |
Ω |
0.066722477019616 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20184j1 121104v1 40368l1 |
Quadratic twists by: -4 -3 29 |