Atkin-Lehner |
2+ 3+ 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
117624h |
Isogeny class |
Conductor |
117624 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1236480 |
Modular degree for the optimal curve |
Δ |
-319319970367936512 = -1 · 211 · 3 · 1311 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 2 2 5 13+ 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-213672,-46666452] |
[a1,a2,a3,a4,a6] |
j |
-109138636514/32302491 |
j-invariant |
L |
3.9369555934635 |
L(r)(E,1)/r! |
Ω |
0.10935985976861 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9048k1 |
Quadratic twists by: 13 |