Atkin-Lehner |
2- 3- 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
69264y |
Isogeny class |
Conductor |
69264 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
18652686594048 = 212 · 39 · 132 · 372 |
Discriminant |
Eigenvalues |
2- 3- 2 2 0 13- -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-22179,1254242] |
[a1,a2,a3,a4,a6] |
j |
404075127457/6246747 |
j-invariant |
L |
2.7585386519085 |
L(r)(E,1)/r! |
Ω |
0.68963466525361 |
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 |
4329e2 23088l2 |
Quadratic twists by: -4 -3 |