Atkin-Lehner |
2- 11- 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
76912j |
Isogeny class |
Conductor |
76912 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
327936 |
Modular degree for the optimal curve |
Δ |
1325481826820096 = 213 · 117 · 192 · 23 |
Discriminant |
Eigenvalues |
2- -2 -1 1 11- 1 -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-29136,762388] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:968:1] [26:152:1] |
Generators of the group modulo torsion |
j |
667833891758929/323603961626 |
j-invariant |
L |
7.6283894227696 |
L(r)(E,1)/r! |
Ω |
0.42907902076906 |
Real period |
R |
0.31747354939371 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998814 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9614e1 |
Quadratic twists by: -4 |