Atkin-Lehner |
2+ 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
32800g |
Isogeny class |
Conductor |
32800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-67240000000 = -1 · 29 · 57 · 412 |
Discriminant |
Eigenvalues |
2+ -2 5+ 4 4 2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,992,-3012] |
[a1,a2,a3,a4,a6] |
j |
13481272/8405 |
j-invariant |
L |
2.5351084204814 |
L(r)(E,1)/r! |
Ω |
0.63377710511986 |
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 |
32800p2 65600w2 6560n2 |
Quadratic twists by: -4 8 5 |