Atkin-Lehner |
3- 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
117117bv |
Isogeny class |
Conductor |
117117 |
Conductor |
∏ cp |
110 |
Product of Tamagawa factors cp |
deg |
88957440 |
Modular degree for the optimal curve |
Δ |
2.8515703054715E+27 |
Discriminant |
Eigenvalues |
2 3- 2 7- 11- 13+ -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-520550589,3781031112589] |
[a1,a2,a3,a4,a6] |
j |
26232410028444086272/4795233247959077 |
j-invariant |
L |
4.7356750836491 |
L(r)(E,1)/r! |
Ω |
0.043051586772687 |
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 |
13013o1 117117w1 |
Quadratic twists by: -3 13 |