Atkin-Lehner |
2+ 3+ 13+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
14274b |
Isogeny class |
Conductor |
14274 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
5224284 = 22 · 33 · 13 · 612 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -4 0 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-828,9380] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:106:1] [-2:106:1] |
Generators of the group modulo torsion |
j |
2326729852251/193492 |
j-invariant |
L |
4.2869708130882 |
L(r)(E,1)/r! |
Ω |
2.309096440102 |
Real period |
R |
0.92827885804965 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114192bc2 14274n2 |
Quadratic twists by: -4 -3 |