Atkin-Lehner |
2- 3- 5+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
22230bh |
Isogeny class |
Conductor |
22230 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-110885579173980 = -1 · 22 · 314 · 5 · 132 · 193 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -4 13+ 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,112,506607] |
[a1,a2,a3,a4,a6] |
Generators |
[-55:603:1] |
Generators of the group modulo torsion |
j |
214921799/152106418620 |
j-invariant |
L |
6.4772302301379 |
L(r)(E,1)/r! |
Ω |
0.47027905371581 |
Real period |
R |
3.4432908392152 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7410e1 111150bn1 |
Quadratic twists by: -3 5 |