Atkin-Lehner |
2+ 3- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
14112n |
Isogeny class |
Conductor |
14112 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-51640810647552 = -1 · 212 · 37 · 78 |
Discriminant |
Eigenvalues |
2+ 3- 4 7+ -6 5 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,8232,192080] |
[a1,a2,a3,a4,a6] |
j |
3584/3 |
j-invariant |
L |
3.2747224970312 |
L(r)(E,1)/r! |
Ω |
0.4093403121289 |
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 |
14112m1 28224ey1 4704q1 14112be1 |
Quadratic twists by: -4 8 -3 -7 |