Atkin-Lehner |
2- 5- 23- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
67850bc |
Isogeny class |
Conductor |
67850 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
23616 |
Modular degree for the optimal curve |
Δ |
10856000 = 26 · 53 · 23 · 59 |
Discriminant |
Eigenvalues |
2- 2 5- 0 -4 6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-128,481] |
[a1,a2,a3,a4,a6] |
j |
1856331989/86848 |
j-invariant |
L |
6.75156518258 |
L(r)(E,1)/r! |
Ω |
2.2505217321351 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
67850m1 |
Quadratic twists by: 5 |