Atkin-Lehner |
2+ 5- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
120640bg |
Isogeny class |
Conductor |
120640 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
Δ |
1.1145187664E+20 |
Discriminant |
Eigenvalues |
2+ -2 5- 0 -4 13+ 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1224465,-118682225] |
[a1,a2,a3,a4,a6] |
Generators |
[-430:18125:1] |
Generators of the group modulo torsion |
j |
12392052792167400784/6802482705078125 |
j-invariant |
L |
4.6154112677915 |
L(r)(E,1)/r! |
Ω |
0.15342001758371 |
Real period |
R |
1.0027833666313 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000033701 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
120640cq2 15080a2 |
Quadratic twists by: -4 8 |