Atkin-Lehner |
2- 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
32798i |
Isogeny class |
Conductor |
32798 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
108192 |
Modular degree for the optimal curve |
Δ |
-150513713710082 = -1 · 2 · 238 · 312 |
Discriminant |
Eigenvalues |
2- -1 0 -2 -4 0 7 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,6337,560055] |
[a1,a2,a3,a4,a6] |
j |
359375/1922 |
j-invariant |
L |
0.8336031685098 |
L(r)(E,1)/r! |
Ω |
0.41680158425323 |
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 |
32798h1 |
Quadratic twists by: -23 |