Atkin-Lehner |
2- 3- 5+ 7+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
117810df |
Isogeny class |
Conductor |
117810 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
37255680 |
Modular degree for the optimal curve |
Δ |
-1.5955080739104E+24 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11- -3 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-259580633,1610954652827] |
[a1,a2,a3,a4,a6] |
j |
-2653463045771824244380558921/2188625615789317031250 |
j-invariant |
L |
4.5281649963519 |
L(r)(E,1)/r! |
Ω |
0.083854901925696 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39270bj1 |
Quadratic twists by: -3 |