Atkin-Lehner |
2+ 7+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
32704c |
Isogeny class |
Conductor |
32704 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-8573157376 = -1 · 224 · 7 · 73 |
Discriminant |
Eigenvalues |
2+ 2 -2 7+ 6 2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,511,-511] |
[a1,a2,a3,a4,a6] |
j |
56181887/32704 |
j-invariant |
L |
3.0874237144098 |
L(r)(E,1)/r! |
Ω |
0.77185592860303 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32704f1 1022c1 |
Quadratic twists by: -4 8 |