Atkin-Lehner |
2- 3- 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
61488bn |
Isogeny class |
Conductor |
61488 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-214202548224 = -1 · 215 · 37 · 72 · 61 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 0 -4 -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-363,22426] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:112:1] [-25:126:1] |
Generators of the group modulo torsion |
j |
-1771561/71736 |
j-invariant |
L |
9.7215596281925 |
L(r)(E,1)/r! |
Ω |
0.83017103066388 |
Real period |
R |
0.36594716890824 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999979 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7686p1 20496x1 |
Quadratic twists by: -4 -3 |