Atkin-Lehner |
2+ 3- 19+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
9006c |
Isogeny class |
Conductor |
9006 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
494177232 = 24 · 3 · 194 · 79 |
Discriminant |
Eigenvalues |
2+ 3- -2 4 0 -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-20232,-1109306] |
[a1,a2,a3,a4,a6] |
Generators |
[6269970:66889847:27000] |
Generators of the group modulo torsion |
j |
915818271296539897/494177232 |
j-invariant |
L |
3.8464241994606 |
L(r)(E,1)/r! |
Ω |
0.40030631017302 |
Real period |
R |
9.6087023904222 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72048m4 27018j4 |
Quadratic twists by: -4 -3 |