Atkin-Lehner |
2+ 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
92480bx |
Isogeny class |
Conductor |
92480 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
-80494592000 = -1 · 217 · 53 · 173 |
Discriminant |
Eigenvalues |
2+ -1 5- -4 -2 -1 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3105,69025] |
[a1,a2,a3,a4,a6] |
Generators |
[-45:340:1] [25:-80:1] |
Generators of the group modulo torsion |
j |
-5142706/125 |
j-invariant |
L |
8.1801431083711 |
L(r)(E,1)/r! |
Ω |
1.0817227965783 |
Real period |
R |
0.31508931611299 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999995433 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92480dx1 11560b1 92480h1 |
Quadratic twists by: -4 8 17 |