Atkin-Lehner |
2- 3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
97020bl |
Isogeny class |
Conductor |
97020 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
995328 |
Modular degree for the optimal curve |
Δ |
-690407668244448000 = -1 · 28 · 39 · 53 · 77 · 113 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11+ -2 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,114072,37124948] |
[a1,a2,a3,a4,a6] |
j |
7476617216/31444875 |
j-invariant |
L |
1.637164947783 |
L(r)(E,1)/r! |
Ω |
0.20464560992372 |
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 |
32340t1 13860v1 |
Quadratic twists by: -3 -7 |