Atkin-Lehner |
3- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
32799j |
Isogeny class |
Conductor |
32799 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
313200 |
Modular degree for the optimal curve |
Δ |
-20543619441069387 = -1 · 35 · 132 · 298 |
Discriminant |
Eigenvalues |
0 3- 4 1 -4 13- -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,32519,6526993] |
[a1,a2,a3,a4,a6] |
j |
7602176/41067 |
j-invariant |
L |
2.7679272061184 |
L(r)(E,1)/r! |
Ω |
0.27679272061143 |
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 |
98397ba1 32799d1 |
Quadratic twists by: -3 29 |