Atkin-Lehner |
2- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
14144t |
Isogeny class |
Conductor |
14144 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2560 |
Modular degree for the optimal curve |
Δ |
11767808 = 212 · 132 · 17 |
Discriminant |
Eigenvalues |
2- 2 2 -2 0 13- 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-57,-7] |
[a1,a2,a3,a4,a6] |
Generators |
[11:24:1] |
Generators of the group modulo torsion |
j |
5088448/2873 |
j-invariant |
L |
7.3013699552797 |
L(r)(E,1)/r! |
Ω |
1.869459575188 |
Real period |
R |
1.9528023104071 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14144x1 7072f1 127296dr1 |
Quadratic twists by: -4 8 -3 |