Atkin-Lehner |
2+ 3- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
20592m |
Isogeny class |
Conductor |
20592 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
-2130555097921536 = -1 · 211 · 316 · 11 · 133 |
Discriminant |
Eigenvalues |
2+ 3- 1 -3 11- 13- 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-43707,-4159478] |
[a1,a2,a3,a4,a6] |
j |
-6184708364018/1427037183 |
j-invariant |
L |
1.9571545494964 |
L(r)(E,1)/r! |
Ω |
0.16309621245804 |
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 |
10296m1 82368do1 6864g1 |
Quadratic twists by: -4 8 -3 |