Atkin-Lehner |
5+ 17+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
76585a |
Isogeny class |
Conductor |
76585 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1824768 |
Modular degree for the optimal curve |
Δ |
5.0590148482371E+19 |
Discriminant |
Eigenvalues |
1 -2 5+ -2 -6 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1328684,479887221] |
[a1,a2,a3,a4,a6] |
Generators |
[1518:121773:8] [3214:24889:8] |
Generators of the group modulo torsion |
j |
10747187598081241/2095909015625 |
j-invariant |
L |
6.986134344403 |
L(r)(E,1)/r! |
Ω |
0.18997969783413 |
Real period |
R |
4.5966321822854 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000059 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4505b1 |
Quadratic twists by: 17 |