Atkin-Lehner |
2- 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
43560cb |
Isogeny class |
Conductor |
43560 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
13614035424572880 = 24 · 38 · 5 · 1110 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 11- -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-60258,-949003] |
[a1,a2,a3,a4,a6] |
Generators |
[-143:2178:1] [-22:605:1] |
Generators of the group modulo torsion |
j |
1171019776/658845 |
j-invariant |
L |
7.9044237496795 |
L(r)(E,1)/r! |
Ω |
0.32793152562117 |
Real period |
R |
6.0259712257815 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87120bi1 14520n1 3960b1 |
Quadratic twists by: -4 -3 -11 |