Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
43560j |
Isogeny class |
Conductor |
43560 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
3409475438160 = 24 · 37 · 5 · 117 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11- 6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-60258,-5692687] |
[a1,a2,a3,a4,a6] |
Generators |
[160712:1287117:512] |
Generators of the group modulo torsion |
j |
1171019776/165 |
j-invariant |
L |
5.5958064075539 |
L(r)(E,1)/r! |
Ω |
0.30471900975994 |
Real period |
R |
9.1819122344203 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87120v1 14520be1 3960n1 |
Quadratic twists by: -4 -3 -11 |