Atkin-Lehner |
2- 3- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
58032ba |
Isogeny class |
Conductor |
58032 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
126720 |
Modular degree for the optimal curve |
Δ |
-76398383333376 = -1 · 223 · 36 · 13 · 312 |
Discriminant |
Eigenvalues |
2- 3- 1 -1 2 13+ -7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,7413,-341318] |
[a1,a2,a3,a4,a6] |
j |
15087533111/25585664 |
j-invariant |
L |
1.2868600973236 |
L(r)(E,1)/r! |
Ω |
0.32171502446546 |
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 |
7254m1 6448f1 |
Quadratic twists by: -4 -3 |