Atkin-Lehner |
2- 3- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
47424db |
Isogeny class |
Conductor |
47424 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-31468290048 = -1 · 219 · 35 · 13 · 19 |
Discriminant |
Eigenvalues |
2- 3- -4 3 1 13+ 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4865,129279] |
[a1,a2,a3,a4,a6] |
Generators |
[31:96:1] |
Generators of the group modulo torsion |
j |
-48587168449/120042 |
j-invariant |
L |
6.3863632203119 |
L(r)(E,1)/r! |
Ω |
1.1746265741744 |
Real period |
R |
0.27184653236717 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47424q1 11856ba1 |
Quadratic twists by: -4 8 |