Atkin-Lehner |
2+ 5+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
11960b |
Isogeny class |
Conductor |
11960 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
19584 |
Modular degree for the optimal curve |
Δ |
6467968000 = 210 · 53 · 133 · 23 |
Discriminant |
Eigenvalues |
2+ 3 5+ -5 0 13+ -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1603,24398] |
[a1,a2,a3,a4,a6] |
j |
444860988516/6316375 |
j-invariant |
L |
2.6805947631728 |
L(r)(E,1)/r! |
Ω |
1.3402973815864 |
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 |
23920a1 95680bc1 107640bd1 59800h1 |
Quadratic twists by: -4 8 -3 5 |