Atkin-Lehner |
2+ 3- 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
6960m |
Isogeny class |
Conductor |
6960 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
12329431200000 = 28 · 312 · 55 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 -6 6 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-29236,-1926436] |
[a1,a2,a3,a4,a6] |
j |
10795741106269264/48161840625 |
j-invariant |
L |
2.191223398194 |
L(r)(E,1)/r! |
Ω |
0.36520389969901 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3480m1 27840de1 20880z1 34800d1 |
Quadratic twists by: -4 8 -3 5 |