Atkin-Lehner |
2+ 5- 13- 89- |
Signs for the Atkin-Lehner involutions |
Class |
92560f |
Isogeny class |
Conductor |
92560 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
1251411200 = 28 · 52 · 133 · 89 |
Discriminant |
Eigenvalues |
2+ 2 5- 5 2 13- -3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-345,-1675] |
[a1,a2,a3,a4,a6] |
j |
17790954496/4888325 |
j-invariant |
L |
6.782305539004 |
L(r)(E,1)/r! |
Ω |
1.1303842754716 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46280c1 |
Quadratic twists by: -4 |