Atkin-Lehner |
2+ 3+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
14448b |
Isogeny class |
Conductor |
14448 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2688 |
Modular degree for the optimal curve |
Δ |
1849344 = 211 · 3 · 7 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7- 4 -1 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-280,-1712] |
[a1,a2,a3,a4,a6] |
j |
1189646642/903 |
j-invariant |
L |
2.333622769602 |
L(r)(E,1)/r! |
Ω |
1.166811384801 |
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 |
7224e1 57792dc1 43344i1 101136l1 |
Quadratic twists by: -4 8 -3 -7 |