Atkin-Lehner |
2- 5+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
68770p |
Isogeny class |
Conductor |
68770 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
98560 |
Modular degree for the optimal curve |
Δ |
2463317192960 = 28 · 5 · 13 · 236 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 0 13- -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3538,30161] |
[a1,a2,a3,a4,a6] |
j |
33076161/16640 |
j-invariant |
L |
2.8826552496507 |
L(r)(E,1)/r! |
Ω |
0.72066381303027 |
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 |
130b1 |
Quadratic twists by: -23 |