Atkin-Lehner |
2+ 3- 13+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
24102f |
Isogeny class |
Conductor |
24102 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
25600 |
Modular degree for the optimal curve |
Δ |
204940655712 = 25 · 314 · 13 · 103 |
Discriminant |
Eigenvalues |
2+ 3- 0 -1 -3 13+ 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2232,-33696] |
[a1,a2,a3,a4,a6] |
j |
1687284042625/281125728 |
j-invariant |
L |
1.4048702986397 |
L(r)(E,1)/r! |
Ω |
0.70243514931988 |
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 |
8034g1 |
Quadratic twists by: -3 |