Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
100800lj |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
24494400000000 = 212 · 37 · 58 · 7 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 2 0 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-23700,1384000] |
[a1,a2,a3,a4,a6] |
Generators |
[5:1125:1] |
Generators of the group modulo torsion |
j |
31554496/525 |
j-invariant |
L |
6.1778903536647 |
L(r)(E,1)/r! |
Ω |
0.67378369922323 |
Real period |
R |
1.1461189903375 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014872 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100800nj2 50400x1 33600gd2 20160ec2 |
Quadratic twists by: -4 8 -3 5 |