Atkin-Lehner |
3- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
22743o |
Isogeny class |
Conductor |
22743 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
34580181757090977 = 37 · 72 · 199 |
Discriminant |
Eigenvalues |
-1 3- -4 7+ 2 -4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1400387,638139570] |
[a1,a2,a3,a4,a6] |
Generators |
[2228:91482:1] |
Generators of the group modulo torsion |
j |
8855610342769/1008273 |
j-invariant |
L |
1.8840789170781 |
L(r)(E,1)/r! |
Ω |
0.35315167173525 |
Real period |
R |
1.3337604405357 |
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 |
7581c1 1197c1 |
Quadratic twists by: -3 -19 |