Atkin-Lehner |
2- 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
22990t |
Isogeny class |
Conductor |
22990 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
18144 |
Modular degree for the optimal curve |
Δ |
-459800 = -1 · 23 · 52 · 112 · 19 |
Discriminant |
Eigenvalues |
2- 1 5+ 4 11- 1 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-6091,-183479] |
[a1,a2,a3,a4,a6] |
Generators |
[1716:70157:1] |
Generators of the group modulo torsion |
j |
-206542103927929/3800 |
j-invariant |
L |
10.06289886042 |
L(r)(E,1)/r! |
Ω |
0.27020727475741 |
Real period |
R |
6.2069010228378 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114950n1 22990h1 |
Quadratic twists by: 5 -11 |