Atkin-Lehner |
2+ 3+ 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
123840x |
Isogeny class |
Conductor |
123840 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
40896921600 = 215 · 33 · 52 · 432 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 -2 -2 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3372,-74736] |
[a1,a2,a3,a4,a6] |
Generators |
[-32:20:1] |
Generators of the group modulo torsion |
j |
4792616856/46225 |
j-invariant |
L |
8.0508490588564 |
L(r)(E,1)/r! |
Ω |
0.62687440654142 |
Real period |
R |
1.6053552799111 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999401272 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123840s2 61920a2 123840h2 |
Quadratic twists by: -4 8 -3 |