Atkin-Lehner |
2+ 3+ 19+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
6726a |
Isogeny class |
Conductor |
6726 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
1072013770752 = 224 · 3 · 192 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 4 -2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2696,-21696] |
[a1,a2,a3,a4,a6] |
j |
2168378298425737/1072013770752 |
j-invariant |
L |
0.69697079579125 |
L(r)(E,1)/r! |
Ω |
0.69697079579125 |
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 |
53808w1 20178n1 127794br1 |
Quadratic twists by: -4 -3 -19 |