Atkin-Lehner |
2- 3+ 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
70992o |
Isogeny class |
Conductor |
70992 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-1152646557696 = -1 · 212 · 39 · 17 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 1 -4 -1 -1 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1728,43632] |
[a1,a2,a3,a4,a6] |
j |
7077888/14297 |
j-invariant |
L |
2.3992147449281 |
L(r)(E,1)/r! |
Ω |
0.59980367865142 |
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 |
4437b1 70992j1 |
Quadratic twists by: -4 -3 |