Atkin-Lehner |
2- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
59584cv |
Isogeny class |
Conductor |
59584 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-87933415112704 = -1 · 214 · 710 · 19 |
Discriminant |
Eigenvalues |
2- 0 3 7- -1 0 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,9604,268912] |
[a1,a2,a3,a4,a6] |
j |
21168/19 |
j-invariant |
L |
3.1554935124767 |
L(r)(E,1)/r! |
Ω |
0.39443668908753 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59584r1 14896k1 59584bp1 |
Quadratic twists by: -4 8 -7 |