Atkin-Lehner |
2- 3- 7- 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
22386x |
Isogeny class |
Conductor |
22386 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1658533968 = 24 · 34 · 74 · 13 · 41 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 4 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3684097,-2722034887] |
[a1,a2,a3,a4,a6] |
j |
5529895044677685547285393/1658533968 |
j-invariant |
L |
6.9742380016663 |
L(r)(E,1)/r! |
Ω |
0.10897246877604 |
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 |
67158t4 |
Quadratic twists by: -3 |