Atkin-Lehner |
2- 3+ 7- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
118482cd |
Isogeny class |
Conductor |
118482 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
13762560 |
Modular degree for the optimal curve |
Δ |
5.400947748268E+20 |
Discriminant |
Eigenvalues |
2- 3+ 4 7- 2 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-13389741,-18830869149] |
[a1,a2,a3,a4,a6] |
j |
6578969657448139687/13384052008704 |
j-invariant |
L |
5.0517224463657 |
L(r)(E,1)/r! |
Ω |
0.078933178186381 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
118482cy1 |
Quadratic twists by: -7 |