Atkin-Lehner |
2- 3- 5+ 29+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
122670bn |
Isogeny class |
Conductor |
122670 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
24330240 |
Modular degree for the optimal curve |
Δ |
2.15195761152E+22 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -2 4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-265069778,1661123184081] |
[a1,a2,a3,a4,a6] |
j |
2825379731600075250793799641/29519308800000000000 |
j-invariant |
L |
4.3773483832246 |
L(r)(E,1)/r! |
Ω |
0.10943371012107 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40890l1 |
Quadratic twists by: -3 |