Atkin-Lehner |
2+ 3+ 5- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
119130j |
Isogeny class |
Conductor |
119130 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
4085760 |
Modular degree for the optimal curve |
Δ |
2.4739045962846E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 11- -2 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1528842,-687757356] |
[a1,a2,a3,a4,a6] |
Generators |
[1428:5886:1] |
Generators of the group modulo torsion |
j |
1224699562099/76665600 |
j-invariant |
L |
5.4410632509764 |
L(r)(E,1)/r! |
Ω |
0.13630407696167 |
Real period |
R |
3.3265471457766 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999869174 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
119130bu1 |
Quadratic twists by: -19 |