Atkin-Lehner |
2- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
56644r |
Isogeny class |
Conductor |
56644 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
705024 |
Modular degree for the optimal curve |
Δ |
1470678069819766528 = 28 · 77 · 178 |
Discriminant |
Eigenvalues |
2- -1 0 7- 6 4 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-401228,-78382184] |
[a1,a2,a3,a4,a6] |
j |
34000/7 |
j-invariant |
L |
2.3092816042137 |
L(r)(E,1)/r! |
Ω |
0.19244013358239 |
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 |
8092g1 56644f1 |
Quadratic twists by: -7 17 |