Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
8400ci |
Isogeny class |
Conductor |
8400 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
12348000000 = 28 · 32 · 56 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 6 -2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-45708,3746088] |
[a1,a2,a3,a4,a6] |
j |
2640279346000/3087 |
j-invariant |
L |
3.2063580375285 |
L(r)(E,1)/r! |
Ω |
1.0687860125095 |
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 |
2100c4 33600fg4 25200eu4 336a4 |
Quadratic twists by: -4 8 -3 5 |