Atkin-Lehner |
2- 3+ 5+ 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
77550bk |
Isogeny class |
Conductor |
77550 |
Conductor |
∏ cp |
114 |
Product of Tamagawa factors cp |
deg |
95869440 |
Modular degree for the optimal curve |
Δ |
-1.4661796875E+29 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 11- -4 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,740032562,16714145003531] |
[a1,a2,a3,a4,a6] |
j |
2868508719756709582075344359/9383550000000000000000000 |
j-invariant |
L |
2.6276923781874 |
L(r)(E,1)/r! |
Ω |
0.023049933475524 |
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 |
15510j1 |
Quadratic twists by: 5 |