Atkin-Lehner |
2+ 7+ 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
5278a |
Isogeny class |
Conductor |
5278 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
7728 |
Modular degree for the optimal curve |
Δ |
-641988558848 = -1 · 223 · 7 · 13 · 292 |
Discriminant |
Eigenvalues |
2+ 1 -2 7+ -3 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4792,-133754] |
[a1,a2,a3,a4,a6] |
j |
-12165889133809657/641988558848 |
j-invariant |
L |
0.57207097227771 |
L(r)(E,1)/r! |
Ω |
0.28603548613886 |
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 |
42224l1 47502bf1 36946l1 68614y1 |
Quadratic twists by: -4 -3 -7 13 |