Atkin-Lehner |
2+ 3- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
38592p |
Isogeny class |
Conductor |
38592 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
5529600 |
Modular degree for the optimal curve |
Δ |
218231861907456 = 212 · 311 · 673 |
Discriminant |
Eigenvalues |
2+ 3- 2 -2 -4 -4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-877024884,-9996914721440] |
[a1,a2,a3,a4,a6] |
j |
24984575986936074490505152/73085409 |
j-invariant |
L |
0.11097025069827 |
L(r)(E,1)/r! |
Ω |
0.027742562666156 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38592bb1 19296h1 12864n1 |
Quadratic twists by: -4 8 -3 |