Atkin-Lehner |
2- 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
83752d |
Isogeny class |
Conductor |
83752 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-192447009919744 = -1 · 28 · 197 · 292 |
Discriminant |
Eigenvalues |
2- 2 3 1 -1 6 7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3369,672797] |
[a1,a2,a3,a4,a6] |
j |
-351232/15979 |
j-invariant |
L |
7.5237154816555 |
L(r)(E,1)/r! |
Ω |
0.47023221481842 |
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 |
4408a1 |
Quadratic twists by: -19 |