Atkin-Lehner |
5+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
45325g |
Isogeny class |
Conductor |
45325 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-55050310888671875 = -1 · 511 · 77 · 372 |
Discriminant |
Eigenvalues |
2 1 5+ 7- 1 -1 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-86158,-14934531] |
[a1,a2,a3,a4,a6] |
j |
-38477541376/29946875 |
j-invariant |
L |
4.3138996300277 |
L(r)(E,1)/r! |
Ω |
0.13480936344164 |
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 |
9065c1 6475d1 |
Quadratic twists by: 5 -7 |