Atkin-Lehner |
2- 3- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
117624bx |
Isogeny class |
Conductor |
117624 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
187200 |
Modular degree for the optimal curve |
Δ |
-544232368368 = -1 · 24 · 35 · 136 · 29 |
Discriminant |
Eigenvalues |
2- 3- 0 5 5 13+ -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1972,11805] |
[a1,a2,a3,a4,a6] |
j |
10976000/7047 |
j-invariant |
L |
5.7586500994949 |
L(r)(E,1)/r! |
Ω |
0.57586507566387 |
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 |
696c1 |
Quadratic twists by: 13 |