Atkin-Lehner |
2+ 3- 5- 7+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
39270bk |
Isogeny class |
Conductor |
39270 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
21287481600 = 28 · 3 · 52 · 72 · 113 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 11+ -6 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1228,-15094] |
[a1,a2,a3,a4,a6] |
j |
204555107163961/21287481600 |
j-invariant |
L |
1.6239879223165 |
L(r)(E,1)/r! |
Ω |
0.81199396117107 |
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 |
117810dg1 |
Quadratic twists by: -3 |