Atkin-Lehner |
2- 19- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
59926g |
Isogeny class |
Conductor |
59926 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
57024 |
Modular degree for the optimal curve |
Δ |
-62476929968 = -1 · 24 · 196 · 83 |
Discriminant |
Eigenvalues |
2- 1 -2 1 -5 2 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2354,-45772] |
[a1,a2,a3,a4,a6] |
Generators |
[1722:5998:27] |
Generators of the group modulo torsion |
j |
-30664297/1328 |
j-invariant |
L |
8.9034762695929 |
L(r)(E,1)/r! |
Ω |
0.3418363216744 |
Real period |
R |
3.2557527188019 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000202 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
166a1 |
Quadratic twists by: -19 |