Atkin-Lehner |
2- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
6760h |
Isogeny class |
Conductor |
6760 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1152 |
Modular degree for the optimal curve |
Δ |
11424400 = 24 · 52 · 134 |
Discriminant |
Eigenvalues |
2- -1 5+ -3 -3 13+ -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-56,25] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:5:1] [-4:13:1] |
Generators of the group modulo torsion |
j |
43264/25 |
j-invariant |
L |
4.1307026936555 |
L(r)(E,1)/r! |
Ω |
1.9240848590909 |
Real period |
R |
0.17890334869841 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13520c1 54080bi1 60840x1 33800d1 |
Quadratic twists by: -4 8 -3 5 |