Atkin-Lehner |
2- 3- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
10512q |
Isogeny class |
Conductor |
10512 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
12871313952768 = 212 · 316 · 73 |
Discriminant |
Eigenvalues |
2- 3- 4 -2 -4 -2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11883,-467750] |
[a1,a2,a3,a4,a6] |
Generators |
[-75:40:1] |
Generators of the group modulo torsion |
j |
62146192681/4310577 |
j-invariant |
L |
5.2994642137703 |
L(r)(E,1)/r! |
Ω |
0.4592619675468 |
Real period |
R |
2.8847719756101 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
657a1 42048bv1 3504v1 |
Quadratic twists by: -4 8 -3 |