Atkin-Lehner |
2+ 3- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
44616g |
Isogeny class |
Conductor |
44616 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
37632 |
Modular degree for the optimal curve |
Δ |
163107529728 = 210 · 3 · 11 · 136 |
Discriminant |
Eigenvalues |
2+ 3- 0 -2 11+ 13+ -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1408,5552] |
[a1,a2,a3,a4,a6] |
j |
62500/33 |
j-invariant |
L |
0.89602777074804 |
L(r)(E,1)/r! |
Ω |
0.89602777064097 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89232g1 264a1 |
Quadratic twists by: -4 13 |