Atkin-Lehner |
2+ 11+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
37312a |
Isogeny class |
Conductor |
37312 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
6566912 = 210 · 112 · 53 |
Discriminant |
Eigenvalues |
2+ 0 -2 4 11+ -6 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-56,104] |
[a1,a2,a3,a4,a6] |
Generators |
[1:7:1] |
Generators of the group modulo torsion |
j |
18966528/6413 |
j-invariant |
L |
4.3350048233813 |
L(r)(E,1)/r! |
Ω |
2.1849914425073 |
Real period |
R |
1.9839916711101 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37312z1 4664c1 |
Quadratic twists by: -4 8 |