Atkin-Lehner |
5- 23- 43- |
Signs for the Atkin-Lehner involutions |
Class |
113735j |
Isogeny class |
Conductor |
113735 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-326988125 = -1 · 54 · 233 · 43 |
Discriminant |
Eigenvalues |
-1 3 5- 2 1 5 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-42,-866] |
[a1,a2,a3,a4,a6] |
j |
-658503/26875 |
j-invariant |
L |
5.9930863309928 |
L(r)(E,1)/r! |
Ω |
0.74913583304982 |
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 |
113735a1 |
Quadratic twists by: -23 |