Atkin-Lehner |
2- 5+ 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
34790u |
Isogeny class |
Conductor |
34790 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
211200 |
Modular degree for the optimal curve |
Δ |
877438742206250 = 2 · 55 · 711 · 71 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 5 -1 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-24011,-142409] |
[a1,a2,a3,a4,a6] |
j |
13012697849761/7458106250 |
j-invariant |
L |
1.6643766225793 |
L(r)(E,1)/r! |
Ω |
0.41609415564423 |
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 |
4970k1 |
Quadratic twists by: -7 |