Atkin-Lehner |
2- 3- 13+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
47268f |
Isogeny class |
Conductor |
47268 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
5495040 |
Modular degree for the optimal curve |
Δ |
1.7115500559584E+22 |
Discriminant |
Eigenvalues |
2- 3- 4 4 6 13+ -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7077828,3592970345] |
[a1,a2,a3,a4,a6] |
j |
3361833610134163603456/1467378305862847677 |
j-invariant |
L |
5.9943017449899 |
L(r)(E,1)/r! |
Ω |
0.11100558787497 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15756a1 |
Quadratic twists by: -3 |