Atkin-Lehner |
2+ 17+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
59534c |
Isogeny class |
Conductor |
59534 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
512150939042 = 2 · 176 · 1032 |
Discriminant |
Eigenvalues |
2+ -2 -4 0 6 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2463,-32248] |
[a1,a2,a3,a4,a6] |
Generators |
[-40:71:1] [92:676:1] |
Generators of the group modulo torsion |
j |
68417929/21218 |
j-invariant |
L |
4.3255848880082 |
L(r)(E,1)/r! |
Ω |
0.69416496362753 |
Real period |
R |
3.1156750301848 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
206a2 |
Quadratic twists by: 17 |