Atkin-Lehner |
2+ 3- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
5814g |
Isogeny class |
Conductor |
5814 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
20687188752 = 24 · 36 · 173 · 192 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 4 2 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-693,1381] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:80:1] |
Generators of the group modulo torsion |
j |
50529889873/28377488 |
j-invariant |
L |
2.6915288843241 |
L(r)(E,1)/r! |
Ω |
1.0475772806686 |
Real period |
R |
0.42821484931503 |
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 |
46512bn1 646b1 98838j1 110466bv1 |
Quadratic twists by: -4 -3 17 -19 |