Atkin-Lehner |
2- 3- 13- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
8034j |
Isogeny class |
Conductor |
8034 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-549007310592 = -1 · 28 · 36 · 134 · 103 |
Discriminant |
Eigenvalues |
2- 3- 2 0 0 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,663,-34983] |
[a1,a2,a3,a4,a6] |
j |
32227258038767/549007310592 |
j-invariant |
L |
5.4020660351888 |
L(r)(E,1)/r! |
Ω |
0.45017216959906 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
64272s1 24102o1 104442n1 |
Quadratic twists by: -4 -3 13 |