Atkin-Lehner |
2- 3- 17+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
71094bb |
Isogeny class |
Conductor |
71094 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
155048929625088 = 210 · 32 · 177 · 41 |
Discriminant |
Eigenvalues |
2- 3- 4 4 4 -4 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-34686,2410308] |
[a1,a2,a3,a4,a6] |
j |
191202526081/6423552 |
j-invariant |
L |
11.465991921286 |
L(r)(E,1)/r! |
Ω |
0.57329959579288 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4182f1 |
Quadratic twists by: 17 |