Atkin-Lehner |
2+ 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
100800eb |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
13442526720000000 = 215 · 37 · 57 · 74 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 4 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-158700,23686000] |
[a1,a2,a3,a4,a6] |
j |
1184287112/36015 |
j-invariant |
L |
3.1664462170339 |
L(r)(E,1)/r! |
Ω |
0.39580581370691 |
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 |
100800fv3 50400dj3 33600cm3 20160bs4 |
Quadratic twists by: -4 8 -3 5 |