Atkin-Lehner |
2- 3+ 19+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
37392h |
Isogeny class |
Conductor |
37392 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1148928 |
Modular degree for the optimal curve |
Δ |
155827021307461632 = 214 · 311 · 19 · 414 |
Discriminant |
Eigenvalues |
2- 3+ -4 -4 0 -4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1104000,446443776] |
[a1,a2,a3,a4,a6] |
j |
36330500236041936001/38043706373892 |
j-invariant |
L |
0.6455444285624 |
L(r)(E,1)/r! |
Ω |
0.32277221427466 |
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 |
4674h1 112176u1 |
Quadratic twists by: -4 -3 |