Atkin-Lehner |
2+ 3- 67- |
Signs for the Atkin-Lehner involutions |
Class |
38592bb |
Isogeny class |
Conductor |
38592 |
Conductor |
∏ cp |
24 |
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] |
Generators |
[733531610:103021344:42875] |
Generators of the group modulo torsion |
j |
24984575986936074490505152/73085409 |
j-invariant |
L |
7.4269344741016 |
L(r)(E,1)/r! |
Ω |
0.17826228434773 |
Real period |
R |
6.9438267151083 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38592p1 19296p1 12864i1 |
Quadratic twists by: -4 8 -3 |