Atkin-Lehner |
2+ 3- 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
58608f |
Isogeny class |
Conductor |
58608 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
36661655453296896 = 28 · 310 · 116 · 372 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 11+ 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5318679,4721206070] |
[a1,a2,a3,a4,a6] |
Generators |
[165258251:1762304040:103823] |
Generators of the group modulo torsion |
j |
89159486481392095312/196446627729 |
j-invariant |
L |
7.0869173821629 |
L(r)(E,1)/r! |
Ω |
0.3153900626434 |
Real period |
R |
11.235162773906 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000003 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
29304e2 19536g2 |
Quadratic twists by: -4 -3 |