Atkin-Lehner |
3- 5+ 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
32775bd |
Isogeny class |
Conductor |
32775 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
79872 |
Modular degree for the optimal curve |
Δ |
1946015625 = 3 · 57 · 192 · 23 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 4 -6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-64876,6354773] |
[a1,a2,a3,a4,a6] |
j |
1932619060770481/124545 |
j-invariant |
L |
2.234365856201 |
L(r)(E,1)/r! |
Ω |
1.1171829281024 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
98325bn1 6555i1 |
Quadratic twists by: -3 5 |