Atkin-Lehner |
2- 3+ 5+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
19380b |
Isogeny class |
Conductor |
19380 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
2846534400 = 28 · 34 · 52 · 172 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 -2 0 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-356,456] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:50:1] [-10:54:1] |
Generators of the group modulo torsion |
j |
19545784144/11119275 |
j-invariant |
L |
5.543033751436 |
L(r)(E,1)/r! |
Ω |
1.2293041811606 |
Real period |
R |
0.7515137203068 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
77520cj2 58140p2 96900bb2 |
Quadratic twists by: -4 -3 5 |