Atkin-Lehner |
2+ 3- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
84216j |
Isogeny class |
Conductor |
84216 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
64800 |
Modular degree for the optimal curve |
Δ |
-22194116208 = -1 · 24 · 33 · 116 · 29 |
Discriminant |
Eigenvalues |
2+ 3- -2 1 11- 7 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-524,-8703] |
[a1,a2,a3,a4,a6] |
j |
-562432/783 |
j-invariant |
L |
2.8483716113249 |
L(r)(E,1)/r! |
Ω |
0.47472861257226 |
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 |
696g1 |
Quadratic twists by: -11 |