Atkin-Lehner |
2+ 3- 5+ 17- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
126480i |
Isogeny class |
Conductor |
126480 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
2023680 = 28 · 3 · 5 · 17 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2636,-52980] |
[a1,a2,a3,a4,a6] |
Generators |
[411:8274:1] |
Generators of the group modulo torsion |
j |
7915615846864/7905 |
j-invariant |
L |
8.1138137465012 |
L(r)(E,1)/r! |
Ω |
0.66626883662029 |
Real period |
R |
6.0889938878041 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999994432 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63240e1 |
Quadratic twists by: -4 |