Atkin-Lehner |
2+ 3+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
44616b |
Isogeny class |
Conductor |
44616 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
1093330160208 = 24 · 32 · 112 · 137 |
Discriminant |
Eigenvalues |
2+ 3+ 2 0 11+ 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-797567,274422732] |
[a1,a2,a3,a4,a6] |
Generators |
[-109:18975:1] |
Generators of the group modulo torsion |
j |
726516846671872/14157 |
j-invariant |
L |
5.6600649969762 |
L(r)(E,1)/r! |
Ω |
0.62703839693385 |
Real period |
R |
4.5133320580181 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999939 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
89232t1 3432g1 |
Quadratic twists by: -4 13 |