Atkin-Lehner |
2- 3- 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
48720cn |
Isogeny class |
Conductor |
48720 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
24192 |
Modular degree for the optimal curve |
Δ |
-1227744000 = -1 · 28 · 33 · 53 · 72 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -5 -4 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,259,-441] |
[a1,a2,a3,a4,a6] |
Generators |
[7:42:1] |
Generators of the group modulo torsion |
j |
7476617216/4795875 |
j-invariant |
L |
6.2343450544005 |
L(r)(E,1)/r! |
Ω |
0.8793326166565 |
Real period |
R |
0.5908216580285 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000035 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12180c1 |
Quadratic twists by: -4 |