Atkin-Lehner |
2- 3- 5+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
48450bu |
Isogeny class |
Conductor |
48450 |
Conductor |
∏ cp |
280 |
Product of Tamagawa factors cp |
deg |
5591040 |
Modular degree for the optimal curve |
Δ |
8.0931849E+21 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 4 0 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-41485338,-102758967708] |
[a1,a2,a3,a4,a6] |
j |
505344548789436320313049/517963833600000000 |
j-invariant |
L |
4.164382973307 |
L(r)(E,1)/r! |
Ω |
0.059491185334869 |
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 |
9690a1 |
Quadratic twists by: 5 |