Atkin-Lehner |
5- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
24505b |
Isogeny class |
Conductor |
24505 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
67200 |
Modular degree for the optimal curve |
Δ |
9098534965 = 5 · 137 · 29 |
Discriminant |
Eigenvalues |
0 -1 5- -1 0 13+ 5 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-373715,-87809967] |
[a1,a2,a3,a4,a6] |
j |
1195876549033984/1885 |
j-invariant |
L |
0.77236807925547 |
L(r)(E,1)/r! |
Ω |
0.19309201981385 |
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 |
122525a1 1885a1 |
Quadratic twists by: 5 13 |