Atkin-Lehner |
2- 5- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
77740n |
Isogeny class |
Conductor |
77740 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
1535040 |
Modular degree for the optimal curve |
Δ |
195122788463200000 = 28 · 55 · 139 · 23 |
Discriminant |
Eigenvalues |
2- -1 5- -5 6 13- -5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-404980,-96758728] |
[a1,a2,a3,a4,a6] |
j |
2705798032/71875 |
j-invariant |
L |
1.8955934581189 |
L(r)(E,1)/r! |
Ω |
0.18955934164742 |
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 |
77740f1 |
Quadratic twists by: 13 |