Atkin-Lehner |
2- 59- |
Signs for the Atkin-Lehner involutions |
Class |
3776v |
Isogeny class |
Conductor |
3776 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
768 |
Modular degree for the optimal curve |
Δ |
-966656 = -1 · 214 · 59 |
Discriminant |
Eigenvalues |
2- -1 1 -1 4 -2 2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1105,14513] |
[a1,a2,a3,a4,a6] |
Generators |
[19:4:1] |
Generators of the group modulo torsion |
j |
-9115564624/59 |
j-invariant |
L |
3.1068435581583 |
L(r)(E,1)/r! |
Ω |
2.4847874339959 |
Real period |
R |
0.62517290526579 |
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 |
3776b1 944b1 33984bj1 94400cp1 |
Quadratic twists by: -4 8 -3 5 |