Atkin-Lehner |
2+ 3- 5+ 11+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
88110i |
Isogeny class |
Conductor |
88110 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
268800 |
Modular degree for the optimal curve |
Δ |
-8564292000 = -1 · 25 · 37 · 53 · 11 · 89 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 11+ 2 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-92565,-10816619] |
[a1,a2,a3,a4,a6] |
j |
-120320392325340241/11748000 |
j-invariant |
L |
2.1896647606537 |
L(r)(E,1)/r! |
Ω |
0.13685404398591 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29370z1 |
Quadratic twists by: -3 |