Atkin-Lehner |
7- 29- 41- |
Signs for the Atkin-Lehner involutions |
Class |
58261o |
Isogeny class |
Conductor |
58261 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
852480 |
Modular degree for the optimal curve |
Δ |
-3952100757174787 = -1 · 711 · 29 · 413 |
Discriminant |
Eigenvalues |
2 -2 2 7- 4 5 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-431902,109149149] |
[a1,a2,a3,a4,a6] |
j |
-75734214083817472/33592302163 |
j-invariant |
L |
5.2029650379726 |
L(r)(E,1)/r! |
Ω |
0.43358041970348 |
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 |
8323d1 |
Quadratic twists by: -7 |