Atkin-Lehner |
2- 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
8400bh |
Isogeny class |
Conductor |
8400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-1680000000000 = -1 · 213 · 3 · 510 · 7 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -2 -1 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1750208,891798912] |
[a1,a2,a3,a4,a6] |
j |
-14822892630025/42 |
j-invariant |
L |
1.1109328590723 |
L(r)(E,1)/r! |
Ω |
0.55546642953614 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1050o2 33600ga2 25200dt2 8400ct1 |
Quadratic twists by: -4 8 -3 5 |