Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
10080s |
Isogeny class |
Conductor |
10080 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
514382400 = 26 · 38 · 52 · 72 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-633,6032] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:108:1] |
Generators of the group modulo torsion |
j |
601211584/11025 |
j-invariant |
L |
4.8146762422952 |
L(r)(E,1)/r! |
Ω |
1.6519200949222 |
Real period |
R |
1.457296953132 |
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 |
10080m1 20160fj2 3360p1 50400dg1 |
Quadratic twists by: -4 8 -3 5 |