Atkin-Lehner |
2- 5- 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
51920x |
Isogeny class |
Conductor |
51920 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
21060050000 = 24 · 55 · 112 · 592 |
Discriminant |
Eigenvalues |
2- 2 5- 4 11- -2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-825,6152] |
[a1,a2,a3,a4,a6] |
j |
3885902381056/1316253125 |
j-invariant |
L |
5.5742955689869 |
L(r)(E,1)/r! |
Ω |
1.1148591136835 |
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 |
12980g1 |
Quadratic twists by: -4 |