Atkin-Lehner |
2- 3- 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
69264r |
Isogeny class |
Conductor |
69264 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-591057006448896 = -1 · 28 · 310 · 134 · 372 |
Discriminant |
Eigenvalues |
2- 3- -2 0 0 13+ 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14871,1362130] |
[a1,a2,a3,a4,a6] |
Generators |
[226:7857:8] |
Generators of the group modulo torsion |
j |
-1948842487888/3167100729 |
j-invariant |
L |
4.970757541592 |
L(r)(E,1)/r! |
Ω |
0.46244139548943 |
Real period |
R |
5.3744729490441 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000885 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17316a2 23088n2 |
Quadratic twists by: -4 -3 |