Atkin-Lehner |
2+ 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
18240bi |
Isogeny class |
Conductor |
18240 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
71862681600 = 215 · 35 · 52 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 4 -6 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10241,395295] |
[a1,a2,a3,a4,a6] |
Generators |
[19:456:1] |
Generators of the group modulo torsion |
j |
3625294417928/2193075 |
j-invariant |
L |
6.2475929556526 |
L(r)(E,1)/r! |
Ω |
1.0814820609716 |
Real period |
R |
0.28884404009624 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18240d2 9120o2 54720cg2 91200bh2 |
Quadratic twists by: -4 8 -3 5 |