Atkin-Lehner |
2- 3- 11+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
86526t |
Isogeny class |
Conductor |
86526 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
2496633663744 = 28 · 36 · 113 · 19 · 232 |
Discriminant |
Eigenvalues |
2- 3- -2 4 11+ 6 -8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5846,-152859] |
[a1,a2,a3,a4,a6] |
j |
30304210142233/3424737536 |
j-invariant |
L |
4.4000958589748 |
L(r)(E,1)/r! |
Ω |
0.55001200184845 |
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 |
9614b1 |
Quadratic twists by: -3 |