Atkin-Lehner |
2+ 3- 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
19110r |
Isogeny class |
Conductor |
19110 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
Δ |
-8288031338496000 = -1 · 215 · 33 · 53 · 78 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 0 13- 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-6691809,-6663460268] |
[a1,a2,a3,a4,a6] |
Generators |
[29462:1077595:8] |
Generators of the group modulo torsion |
j |
-5748703487739833929/1437696000 |
j-invariant |
L |
4.1978967825924 |
L(r)(E,1)/r! |
Ω |
0.04693357929842 |
Real period |
R |
9.9381505271067 |
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 |
57330es2 95550fz2 19110g2 |
Quadratic twists by: -3 5 -7 |