Atkin-Lehner |
2- 3- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
83790ea |
Isogeny class |
Conductor |
83790 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
79872 |
Modular degree for the optimal curve |
Δ |
-10689509250 = -1 · 2 · 38 · 53 · 73 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -5 -1 7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,337,4281] |
[a1,a2,a3,a4,a6] |
j |
16974593/42750 |
j-invariant |
L |
3.5838381562774 |
L(r)(E,1)/r! |
Ω |
0.89595955182214 |
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 |
27930s1 83790fu1 |
Quadratic twists by: -3 -7 |