Atkin-Lehner |
2+ 13+ 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
14326b |
Isogeny class |
Conductor |
14326 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
544388 = 22 · 13 · 192 · 29 |
Discriminant |
Eigenvalues |
2+ 2 0 -2 4 13+ -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-20,-4] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:4:1] |
Generators of the group modulo torsion |
j |
955671625/544388 |
j-invariant |
L |
4.7348141752811 |
L(r)(E,1)/r! |
Ω |
2.5075097343326 |
Real period |
R |
1.8882535570859 |
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 |
114608f1 128934bg1 |
Quadratic twists by: -4 -3 |