Atkin-Lehner |
2+ 5- 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
69290j |
Isogeny class |
Conductor |
69290 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-23174012479816900 = -1 · 22 · 52 · 1310 · 412 |
Discriminant |
Eigenvalues |
2+ -2 5- 2 2 13+ 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,65737,-3394194] |
[a1,a2,a3,a4,a6] |
j |
6508827125711/4801104100 |
j-invariant |
L |
1.7042444800868 |
L(r)(E,1)/r! |
Ω |
0.21303056166768 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5330d2 |
Quadratic twists by: 13 |