Atkin-Lehner |
2+ 3- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
36822j |
Isogeny class |
Conductor |
36822 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
134400 |
Modular degree for the optimal curve |
Δ |
106005582053376 = 220 · 3 · 173 · 193 |
Discriminant |
Eigenvalues |
2+ 3- 2 -2 4 -4 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-12320,-178834] |
[a1,a2,a3,a4,a6] |
j |
30147017857867/15454961664 |
j-invariant |
L |
1.9152248505911 |
L(r)(E,1)/r! |
Ω |
0.47880621264494 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110466bm1 36822o1 |
Quadratic twists by: -3 -19 |