Atkin-Lehner |
2- 3+ 5- 7+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
117810cq |
Isogeny class |
Conductor |
117810 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
437760 |
Modular degree for the optimal curve |
Δ |
71103284904960 = 210 · 39 · 5 · 73 · 112 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 11+ 2 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-13232,-419309] |
[a1,a2,a3,a4,a6] |
j |
13016017556667/3612421120 |
j-invariant |
L |
4.5446106729829 |
L(r)(E,1)/r! |
Ω |
0.45446104609166 |
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 |
117810d1 |
Quadratic twists by: -3 |