Atkin-Lehner |
2+ 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
32800f |
Isogeny class |
Conductor |
32800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
25625000000 = 26 · 510 · 41 |
Discriminant |
Eigenvalues |
2+ -2 5+ 2 6 2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1158,12688] |
[a1,a2,a3,a4,a6] |
j |
171879616/25625 |
j-invariant |
L |
2.2856600291132 |
L(r)(E,1)/r! |
Ω |
1.1428300145537 |
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 |
32800d1 65600ca2 6560k1 |
Quadratic twists by: -4 8 5 |