Atkin-Lehner |
2+ 3- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
68544bc |
Isogeny class |
Conductor |
68544 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1382400 |
Modular degree for the optimal curve |
Δ |
-1658528192692224 = -1 · 215 · 311 · 75 · 17 |
Discriminant |
Eigenvalues |
2+ 3- -1 7+ 5 5 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5566188,-5054578576] |
[a1,a2,a3,a4,a6] |
j |
-798398773180392392/69429717 |
j-invariant |
L |
3.1452854307271 |
L(r)(E,1)/r! |
Ω |
0.049145084833131 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68544bw1 34272bd1 22848f1 |
Quadratic twists by: -4 8 -3 |