Atkin-Lehner |
2+ 11- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
85514f |
Isogeny class |
Conductor |
85514 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
56160 |
Modular degree for the optimal curve |
Δ |
9769461416 = 23 · 11 · 136 · 23 |
Discriminant |
Eigenvalues |
2+ 0 3 3 11- 13+ -1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-623,-3483] |
[a1,a2,a3,a4,a6] |
Generators |
[-2569:10494:343] |
Generators of the group modulo torsion |
j |
5545233/2024 |
j-invariant |
L |
6.9196873782385 |
L(r)(E,1)/r! |
Ω |
0.98472419749463 |
Real period |
R |
7.0270309152106 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992597 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
506e1 |
Quadratic twists by: 13 |