Atkin-Lehner |
2- 3+ 5- 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
14190l |
Isogeny class |
Conductor |
14190 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
58368 |
Modular degree for the optimal curve |
Δ |
25592384716800 = 224 · 3 · 52 · 11 · 432 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 11+ 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-33145,2296007] |
[a1,a2,a3,a4,a6] |
j |
4026971918382673681/25592384716800 |
j-invariant |
L |
4.0431295649859 |
L(r)(E,1)/r! |
Ω |
0.67385492749765 |
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 |
113520bt1 42570k1 70950n1 |
Quadratic twists by: -4 -3 5 |