Atkin-Lehner |
2- 3- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
6960bi |
Isogeny class |
Conductor |
6960 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
342097920 = 218 · 32 · 5 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 2 0 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-176,84] |
[a1,a2,a3,a4,a6] |
j |
148035889/83520 |
j-invariant |
L |
2.94393949825 |
L(r)(E,1)/r! |
Ω |
1.471969749125 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
870e1 27840cy1 20880cj1 34800ca1 |
Quadratic twists by: -4 8 -3 5 |