Atkin-Lehner |
2+ 5+ 13- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
11570b |
Isogeny class |
Conductor |
11570 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
107640 |
Modular degree for the optimal curve |
Δ |
-34650274660352000 = -1 · 223 · 53 · 135 · 89 |
Discriminant |
Eigenvalues |
2+ 0 5+ -3 4 13- 4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-14575,-8977875] |
[a1,a2,a3,a4,a6] |
j |
-342425550990323529/34650274660352000 |
j-invariant |
L |
0.81343479685593 |
L(r)(E,1)/r! |
Ω |
0.16268695937119 |
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 |
92560j1 104130cd1 57850m1 |
Quadratic twists by: -4 -3 5 |