Atkin-Lehner |
3- 19- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
5073h |
Isogeny class |
Conductor |
5073 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1248 |
Modular degree for the optimal curve |
Δ |
-96387 = -1 · 3 · 192 · 89 |
Discriminant |
Eigenvalues |
2 3- 2 -4 0 -6 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-62,-211] |
[a1,a2,a3,a4,a6] |
Generators |
[2382:5041:216] |
Generators of the group modulo torsion |
j |
-26784575488/96387 |
j-invariant |
L |
8.2881789436886 |
L(r)(E,1)/r! |
Ω |
0.84936803499537 |
Real period |
R |
4.8790268777502 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81168bj1 15219i1 126825e1 96387f1 |
Quadratic twists by: -4 -3 5 -19 |