Atkin-Lehner |
2- 3- 31+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
46314w |
Isogeny class |
Conductor |
46314 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
39936 |
Modular degree for the optimal curve |
Δ |
-32446152666 = -1 · 2 · 38 · 313 · 83 |
Discriminant |
Eigenvalues |
2- 3- 1 2 6 0 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-977,14843] |
[a1,a2,a3,a4,a6] |
Generators |
[-108:8239:64] |
Generators of the group modulo torsion |
j |
-141339344329/44507754 |
j-invariant |
L |
11.675840835109 |
L(r)(E,1)/r! |
Ω |
1.1050501096808 |
Real period |
R |
5.282946326526 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999817 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15438e1 |
Quadratic twists by: -3 |