Atkin-Lehner |
2- 5- 29- 31- |
Signs for the Atkin-Lehner involutions |
Class |
89900i |
Isogeny class |
Conductor |
89900 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
76032 |
Modular degree for the optimal curve |
Δ |
1616402000 = 24 · 53 · 292 · 312 |
Discriminant |
Eigenvalues |
2- 2 5- 4 -4 -4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1553,24002] |
[a1,a2,a3,a4,a6] |
Generators |
[67:465:1] |
Generators of the group modulo torsion |
j |
207246737408/808201 |
j-invariant |
L |
10.397399434314 |
L(r)(E,1)/r! |
Ω |
1.5074193320819 |
Real period |
R |
1.149580524046 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999264 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89900j1 |
Quadratic twists by: 5 |