Atkin-Lehner |
2- 3- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
20880cc |
Isogeny class |
Conductor |
20880 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
3972816720 = 24 · 310 · 5 · 292 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -4 2 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1128,14263] |
[a1,a2,a3,a4,a6] |
j |
13608288256/340605 |
j-invariant |
L |
1.3888291819687 |
L(r)(E,1)/r! |
Ω |
1.3888291819687 |
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 |
5220j1 83520fu1 6960bj1 104400eo1 |
Quadratic twists by: -4 8 -3 5 |