Atkin-Lehner |
2- 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
44616w |
Isogeny class |
Conductor |
44616 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
790272 |
Modular degree for the optimal curve |
Δ |
118905389171712 = 210 · 37 · 11 · 136 |
Discriminant |
Eigenvalues |
2- 3- -4 2 11- 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1354760,-607385856] |
[a1,a2,a3,a4,a6] |
j |
55635379958596/24057 |
j-invariant |
L |
0.97956213191222 |
L(r)(E,1)/r! |
Ω |
0.13993744746594 |
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 |
89232e1 264d1 |
Quadratic twists by: -4 13 |