Atkin-Lehner |
2+ 3+ 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
69600p |
Isogeny class |
Conductor |
69600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-60552000000000 = -1 · 212 · 32 · 59 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 -2 -4 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1167,-374463] |
[a1,a2,a3,a4,a6] |
Generators |
[83:536:1] [96:783:1] |
Generators of the group modulo torsion |
j |
21952/7569 |
j-invariant |
L |
7.8026876582364 |
L(r)(E,1)/r! |
Ω |
0.29266606858409 |
Real period |
R |
6.6651796157753 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000017 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69600ca2 69600cb2 |
Quadratic twists by: -4 5 |