Atkin-Lehner |
2- 3- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
7056bo |
Isogeny class |
Conductor |
7056 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
5040 |
Modular degree for the optimal curve |
Δ |
67240638864 = 24 · 36 · 78 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ -3 2 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1029,-2401] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:83:1] |
Generators of the group modulo torsion |
j |
1792 |
j-invariant |
L |
3.2148484631476 |
L(r)(E,1)/r! |
Ω |
0.90486662703891 |
Real period |
R |
3.5528423383984 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1764e1 28224ew1 784g1 7056ca1 |
Quadratic twists by: -4 8 -3 -7 |