Atkin-Lehner |
2- 3- 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
69264u |
Isogeny class |
Conductor |
69264 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
132641326891008 = 218 · 37 · 132 · 372 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 0 13+ 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-148899,-22107998] |
[a1,a2,a3,a4,a6] |
j |
122267653919137/44421312 |
j-invariant |
L |
1.9443572567726 |
L(r)(E,1)/r! |
Ω |
0.24304465728203 |
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 |
8658a2 23088p2 |
Quadratic twists by: -4 -3 |