Atkin-Lehner |
3- 5- 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
51675ba |
Isogeny class |
Conductor |
51675 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
96000 |
Modular degree for the optimal curve |
Δ |
283405078125 = 34 · 58 · 132 · 53 |
Discriminant |
Eigenvalues |
2 3- 5- 3 1 13+ -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-6958,219619] |
[a1,a2,a3,a4,a6] |
j |
95384842240/725517 |
j-invariant |
L |
7.8443956379219 |
L(r)(E,1)/r! |
Ω |
0.98054945467465 |
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 |
51675j1 |
Quadratic twists by: 5 |