Atkin-Lehner |
2- 5+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
19760p |
Isogeny class |
Conductor |
19760 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
63449360000000000 = 213 · 510 · 133 · 192 |
Discriminant |
Eigenvalues |
2- 0 5+ 2 4 13- 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-355163,-80562038] |
[a1,a2,a3,a4,a6] |
Generators |
[-363:728:1] |
Generators of the group modulo torsion |
j |
1209614297183525169/15490566406250 |
j-invariant |
L |
5.2846614802266 |
L(r)(E,1)/r! |
Ω |
0.19571723159544 |
Real period |
R |
2.250126128883 |
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 |
2470e2 79040bu2 98800bg2 |
Quadratic twists by: -4 8 5 |