Atkin-Lehner |
3+ 5- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
87285k |
Isogeny class |
Conductor |
87285 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
494592 |
Modular degree for the optimal curve |
Δ |
-297190189141395 = -1 · 3 · 5 · 11 · 239 |
Discriminant |
Eigenvalues |
0 3+ 5- 4 11+ -5 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-154115,-23250574] |
[a1,a2,a3,a4,a6] |
Generators |
[925669524396838:88616925421535081:100804318264] |
Generators of the group modulo torsion |
j |
-224755712/165 |
j-invariant |
L |
5.1410955747828 |
L(r)(E,1)/r! |
Ω |
0.12047279208187 |
Real period |
R |
21.337164541222 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87285e1 |
Quadratic twists by: -23 |