Atkin-Lehner |
2- 11- 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
86768m |
Isogeny class |
Conductor |
86768 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
519168 |
Modular degree for the optimal curve |
Δ |
181965684736 = 225 · 11 · 17 · 29 |
Discriminant |
Eigenvalues |
2- -3 -1 4 11- -2 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-133963,18872314] |
[a1,a2,a3,a4,a6] |
j |
64911008725758369/44425216 |
j-invariant |
L |
1.676242610314 |
L(r)(E,1)/r! |
Ω |
0.83812132161565 |
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 |
10846d1 |
Quadratic twists by: -4 |