Atkin-Lehner |
2- 23- 79- |
Signs for the Atkin-Lehner involutions |
Class |
83582p |
Isogeny class |
Conductor |
83582 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
16512 |
Modular degree for the optimal curve |
Δ |
-1922386 = -1 · 2 · 233 · 79 |
Discriminant |
Eigenvalues |
2- 2 1 -4 -2 -2 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-80,-317] |
[a1,a2,a3,a4,a6] |
j |
-4657463/158 |
j-invariant |
L |
1.5930638595057 |
L(r)(E,1)/r! |
Ω |
0.79653195297937 |
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 |
83582l1 |
Quadratic twists by: -23 |