Atkin-Lehner |
2- 3- 5- 7- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
116130dn |
Isogeny class |
Conductor |
116130 |
Conductor |
∏ cp |
392 |
Product of Tamagawa factors cp |
deg |
1542912 |
Modular degree for the optimal curve |
Δ |
1481189839920000 = 27 · 314 · 54 · 72 · 79 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -3 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-899970,328536900] |
[a1,a2,a3,a4,a6] |
Generators |
[390:5880:1] |
Generators of the group modulo torsion |
j |
1645173708373111465969/30228364080000 |
j-invariant |
L |
14.804660467906 |
L(r)(E,1)/r! |
Ω |
0.43942380560569 |
Real period |
R |
0.085946620263859 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009073 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116130bw1 |
Quadratic twists by: -7 |