Atkin-Lehner |
2- 3+ 13- 103- |
Signs for the Atkin-Lehner involutions |
Class |
8034d |
Isogeny class |
Conductor |
8034 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
53568 |
Modular degree for the optimal curve |
Δ |
-189906651307776 = -1 · 28 · 3 · 133 · 1034 |
Discriminant |
Eigenvalues |
2- 3+ -2 4 4 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-56444,5180381] |
[a1,a2,a3,a4,a6] |
j |
-19887378646683727297/189906651307776 |
j-invariant |
L |
3.419062134629 |
L(r)(E,1)/r! |
Ω |
0.56984368910484 |
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 |
64272bc1 24102q1 104442b1 |
Quadratic twists by: -4 -3 13 |