Atkin-Lehner |
2- 3- 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
52038z |
Isogeny class |
Conductor |
52038 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
903168 |
Modular degree for the optimal curve |
Δ |
-82263811361550336 = -1 · 212 · 310 · 78 · 59 |
Discriminant |
Eigenvalues |
2- 3- 1 7+ -4 2 7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-925007,-342471657] |
[a1,a2,a3,a4,a6] |
j |
-20827947839209/19574784 |
j-invariant |
L |
3.6944526353987 |
L(r)(E,1)/r! |
Ω |
0.076967763217416 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17346a1 52038bf1 |
Quadratic twists by: -3 -7 |