Atkin-Lehner |
2- 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
1710p |
Isogeny class |
Conductor |
1710 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
768 |
Modular degree for the optimal curve |
Δ |
-1579014000 = -1 · 24 · 37 · 53 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 2 0 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-158,-2019] |
[a1,a2,a3,a4,a6] |
j |
-594823321/2166000 |
j-invariant |
L |
2.4694433722468 |
L(r)(E,1)/r! |
Ω |
0.61736084306169 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13680bb1 54720bv1 570c1 8550j1 |
Quadratic twists by: -4 8 -3 5 |