Atkin-Lehner |
2+ 3- 19- |
Signs for the Atkin-Lehner involutions |
Class |
2736j |
Isogeny class |
Conductor |
2736 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
196454605824 = 210 · 312 · 192 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 0 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1731,-17710] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:90:1] |
Generators of the group modulo torsion |
j |
768400132/263169 |
j-invariant |
L |
2.9741390258348 |
L(r)(E,1)/r! |
Ω |
0.76076872754394 |
Real period |
R |
1.9546932715258 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
1368g2 10944bx2 912b2 68400bu2 |
Quadratic twists by: -4 8 -3 5 |