Atkin-Lehner |
2- 11+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
12496f |
Isogeny class |
Conductor |
12496 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1056 |
Modular degree for the optimal curve |
Δ |
199936 = 28 · 11 · 71 |
Discriminant |
Eigenvalues |
2- 0 3 1 11+ -5 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16,12] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:6:1] |
Generators of the group modulo torsion |
j |
1769472/781 |
j-invariant |
L |
5.5121665504164 |
L(r)(E,1)/r! |
Ω |
2.8567583563156 |
Real period |
R |
0.96475897904181 |
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 |
3124a1 49984r1 112464bi1 |
Quadratic twists by: -4 8 -3 |