Atkin-Lehner |
2+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
3776a |
Isogeny class |
Conductor |
3776 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
256 |
Modular degree for the optimal curve |
Δ |
-966656 = -1 · 214 · 59 |
Discriminant |
Eigenvalues |
2+ 1 1 1 0 2 -6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,15,47] |
[a1,a2,a3,a4,a6] |
Generators |
[1:8:1] |
Generators of the group modulo torsion |
j |
21296/59 |
j-invariant |
L |
4.3687850457494 |
L(r)(E,1)/r! |
Ω |
1.9553021862707 |
Real period |
R |
1.1171636477536 |
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 |
3776u1 472e1 33984t1 94400d1 |
Quadratic twists by: -4 8 -3 5 |