Atkin-Lehner |
2- 3- 101- |
Signs for the Atkin-Lehner involutions |
Class |
29088l |
Isogeny class |
Conductor |
29088 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
219855015936 = 212 · 312 · 101 |
Discriminant |
Eigenvalues |
2- 3- -1 4 4 1 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4008,95024] |
[a1,a2,a3,a4,a6] |
j |
2384621056/73629 |
j-invariant |
L |
3.9656577177742 |
L(r)(E,1)/r! |
Ω |
0.99141442944358 |
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 |
29088e1 58176h1 9696a1 |
Quadratic twists by: -4 8 -3 |