Atkin-Lehner |
2- 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
83824bh |
Isogeny class |
Conductor |
83824 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-69183635456 = -1 · 215 · 133 · 312 |
Discriminant |
Eigenvalues |
2- 1 1 1 -2 13- -1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-22000,-1263404] |
[a1,a2,a3,a4,a6] |
j |
-130864391533/7688 |
j-invariant |
L |
1.5680167664908 |
L(r)(E,1)/r! |
Ω |
0.19600209481208 |
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 |
10478n1 83824be1 |
Quadratic twists by: -4 13 |