Atkin-Lehner |
2- 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
18720bh |
Isogeny class |
Conductor |
18720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
70963776000 = 29 · 38 · 53 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 4 13- 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11883,498418] |
[a1,a2,a3,a4,a6] |
j |
497169541448/190125 |
j-invariant |
L |
2.1507947993932 |
L(r)(E,1)/r! |
Ω |
1.0753973996966 |
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 |
18720bg2 37440fc2 6240s2 93600x2 |
Quadratic twists by: -4 8 -3 5 |