Atkin-Lehner |
2- 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
6958p |
Isogeny class |
Conductor |
6958 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
11880 |
Modular degree for the optimal curve |
Δ |
4276776448 = 29 · 76 · 71 |
Discriminant |
Eigenvalues |
2- 3 4 7- 0 -1 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-573,-4091] |
[a1,a2,a3,a4,a6] |
j |
176558481/36352 |
j-invariant |
L |
8.9106006645043 |
L(r)(E,1)/r! |
Ω |
0.99006674050048 |
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 |
55664s1 62622r1 142a1 |
Quadratic twists by: -4 -3 -7 |