Atkin-Lehner |
5+ 11- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
67925m |
Isogeny class |
Conductor |
67925 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
249600 |
Modular degree for the optimal curve |
Δ |
15538905078125 = 58 · 115 · 13 · 19 |
Discriminant |
Eigenvalues |
2 2 5+ -1 11- 13+ -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-7158,-133157] |
[a1,a2,a3,a4,a6] |
j |
2596207734784/994489925 |
j-invariant |
L |
5.3609657488068 |
L(r)(E,1)/r! |
Ω |
0.53609657517784 |
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 |
13585g1 |
Quadratic twists by: 5 |