Atkin-Lehner |
2- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
59150bk |
Isogeny class |
Conductor |
59150 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
Δ |
1.1152568451172E+23 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ 4 13+ 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-23765713,-41608517969] |
[a1,a2,a3,a4,a6] |
j |
19683218700810001/1478750000000 |
j-invariant |
L |
7.6946325689328 |
L(r)(E,1)/r! |
Ω |
0.068702076525378 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11830d2 4550j2 |
Quadratic twists by: 5 13 |