Atkin-Lehner |
2- 11- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
85514q |
Isogeny class |
Conductor |
85514 |
Conductor |
∏ cp |
21 |
Product of Tamagawa factors cp |
deg |
5860512 |
Modular degree for the optimal curve |
Δ |
17307196835590376 = 23 · 117 · 136 · 23 |
Discriminant |
Eigenvalues |
2- 0 3 -3 11- 13+ 5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-49104841,132456972769] |
[a1,a2,a3,a4,a6] |
j |
2712917065234165678953/3585639464 |
j-invariant |
L |
5.2137320614244 |
L(r)(E,1)/r! |
Ω |
0.248272961239 |
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 |
506b1 |
Quadratic twists by: 13 |