Atkin-Lehner |
2+ 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
32490i |
Isogeny class |
Conductor |
32490 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
163200 |
Modular degree for the optimal curve |
Δ |
-409617285120000 = -1 · 217 · 36 · 54 · 193 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 -2 5 5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,14895,673501] |
[a1,a2,a3,a4,a6] |
j |
73087061741/81920000 |
j-invariant |
L |
1.4154613027707 |
L(r)(E,1)/r! |
Ω |
0.35386532569373 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3610i1 32490bj1 |
Quadratic twists by: -3 -19 |