Atkin-Lehner |
2- 3+ 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
88218bn |
Isogeny class |
Conductor |
88218 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-1780592112 = -1 · 24 · 33 · 132 · 293 |
Discriminant |
Eigenvalues |
2- 3+ 0 1 3 13+ -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,280,-997] |
[a1,a2,a3,a4,a6] |
Generators |
[39:241:1] |
Generators of the group modulo torsion |
j |
533827125/390224 |
j-invariant |
L |
11.257685381714 |
L(r)(E,1)/r! |
Ω |
0.83524026170901 |
Real period |
R |
0.56159915330598 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009705 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88218a2 88218h1 |
Quadratic twists by: -3 13 |