Atkin-Lehner |
2+ 3- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
25536bd |
Isogeny class |
Conductor |
25536 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
1647378432 = 216 · 33 · 72 · 19 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ -6 2 -8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-609,5247] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:96:1] [-7:96:1] |
Generators of the group modulo torsion |
j |
381775972/25137 |
j-invariant |
L |
8.0553031542397 |
L(r)(E,1)/r! |
Ω |
1.4707220808829 |
Real period |
R |
0.91285127432155 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25536cp1 3192l1 76608bd1 |
Quadratic twists by: -4 8 -3 |