Atkin-Lehner |
2+ 5+ 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
32560c |
Isogeny class |
Conductor |
32560 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6656 |
Modular degree for the optimal curve |
Δ |
5730560 = 28 · 5 · 112 · 37 |
Discriminant |
Eigenvalues |
2+ -2 5+ -4 11+ -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-76,204] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:8:1] [-5:22:1] |
Generators of the group modulo torsion |
j |
192143824/22385 |
j-invariant |
L |
5.0411783390433 |
L(r)(E,1)/r! |
Ω |
2.321751072787 |
Real period |
R |
2.1712828727122 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16280d1 |
Quadratic twists by: -4 |