Atkin-Lehner |
2- 3- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
66240gb |
Isogeny class |
Conductor |
66240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-1110646080 = -1 · 26 · 38 · 5 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 -4 2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-147,-1744] |
[a1,a2,a3,a4,a6] |
Generators |
[20360:120393:512] |
Generators of the group modulo torsion |
j |
-7529536/23805 |
j-invariant |
L |
8.0824498794199 |
L(r)(E,1)/r! |
Ω |
0.63226223112342 |
Real period |
R |
6.3916912019868 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992326 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66240fs1 33120m2 22080bv1 |
Quadratic twists by: -4 8 -3 |