Atkin-Lehner |
2- 3- 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
55860t |
Isogeny class |
Conductor |
55860 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
90720 |
Modular degree for the optimal curve |
Δ |
-3785398928640 = -1 · 28 · 33 · 5 · 78 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 -1 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4916,160740] |
[a1,a2,a3,a4,a6] |
j |
-8904784/2565 |
j-invariant |
L |
2.2358609109175 |
L(r)(E,1)/r! |
Ω |
0.74528697086155 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
55860j1 |
Quadratic twists by: -7 |