Atkin-Lehner |
2- 5+ 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
34790t |
Isogeny class |
Conductor |
34790 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
105600 |
Modular degree for the optimal curve |
Δ |
152206250 = 2 · 55 · 73 · 71 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- 3 -5 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-85576,-9671201] |
[a1,a2,a3,a4,a6] |
j |
202062563137299943/443750 |
j-invariant |
L |
5.0243980421462 |
L(r)(E,1)/r! |
Ω |
0.27913322456367 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34790be1 |
Quadratic twists by: -7 |