Atkin-Lehner |
2- 3- 5+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
42480bh |
Isogeny class |
Conductor |
42480 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
23783362560 = 212 · 39 · 5 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -5 -5 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-768,-3472] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:45:1] |
Generators of the group modulo torsion |
j |
16777216/7965 |
j-invariant |
L |
4.5453972746524 |
L(r)(E,1)/r! |
Ω |
0.95018844072285 |
Real period |
R |
2.3918399129292 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2655f1 14160s1 |
Quadratic twists by: -4 -3 |