Atkin-Lehner |
3- 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
117117be |
Isogeny class |
Conductor |
117117 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
199415233017 = 37 · 73 · 112 · 133 |
Discriminant |
Eigenvalues |
1 3- -4 7+ 11- 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2079,-28976] |
[a1,a2,a3,a4,a6] |
j |
620650477/124509 |
j-invariant |
L |
1.4338789853616 |
L(r)(E,1)/r! |
Ω |
0.71693958744341 |
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 |
39039e1 117117bn1 |
Quadratic twists by: -3 13 |