Atkin-Lehner |
2- 7+ 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
55216p |
Isogeny class |
Conductor |
55216 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
52992 |
Modular degree for the optimal curve |
Δ |
-12630770432 = -1 · 28 · 7 · 172 · 293 |
Discriminant |
Eigenvalues |
2- 3 2 7+ 0 4 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,176,-5332] |
[a1,a2,a3,a4,a6] |
j |
2355167232/49338947 |
j-invariant |
L |
7.3672647097143 |
L(r)(E,1)/r! |
Ω |
0.61393872577365 |
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 |
13804g1 |
Quadratic twists by: -4 |