Atkin-Lehner |
2- 29- 61- |
Signs for the Atkin-Lehner involutions |
Class |
113216l |
Isogeny class |
Conductor |
113216 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
7419723776 = 222 · 29 · 61 |
Discriminant |
Eigenvalues |
2- 0 2 4 4 2 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2444,-46320] |
[a1,a2,a3,a4,a6] |
j |
6158676537/28304 |
j-invariant |
L |
6.1127527917878 |
L(r)(E,1)/r! |
Ω |
0.67919481189869 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
113216f1 28304a1 |
Quadratic twists by: -4 8 |