Atkin-Lehner |
2+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
3776c |
Isogeny class |
Conductor |
3776 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
192 |
Modular degree for the optimal curve |
Δ |
-60416 = -1 · 210 · 59 |
Discriminant |
Eigenvalues |
2+ 1 1 -3 2 0 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5,11] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:4:1] |
Generators of the group modulo torsion |
j |
-16384/59 |
j-invariant |
L |
4.0713753318183 |
L(r)(E,1)/r! |
Ω |
3.0702330076082 |
Real period |
R |
0.66304012134081 |
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 |
3776w1 236a1 33984v1 94400g1 |
Quadratic twists by: -4 8 -3 5 |