Atkin-Lehner |
2- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
3776n |
Isogeny class |
Conductor |
3776 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
768 |
Modular degree for the optimal curve |
Δ |
-61865984 = -1 · 220 · 59 |
Discriminant |
Eigenvalues |
2- -1 3 1 -2 2 -2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,31,-383] |
[a1,a2,a3,a4,a6] |
j |
12167/236 |
j-invariant |
L |
1.9155619885456 |
L(r)(E,1)/r! |
Ω |
0.95778099427282 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3776g1 944i1 33984ca1 94400br1 |
Quadratic twists by: -4 8 -3 5 |