Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
10080r |
Isogeny class |
Conductor |
10080 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
2893401000000 = 26 · 310 · 56 · 72 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 -2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-47253,-3952748] |
[a1,a2,a3,a4,a6] |
Generators |
[14146:590121:8] |
Generators of the group modulo torsion |
j |
250094631024064/62015625 |
j-invariant |
L |
4.4434330187792 |
L(r)(E,1)/r! |
Ω |
0.32381627352599 |
Real period |
R |
6.861040321407 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
10080bn1 20160co2 3360z1 50400de1 |
Quadratic twists by: -4 8 -3 5 |