Atkin-Lehner |
2- 3- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
1368g |
Isogeny class |
Conductor |
1368 |
Conductor |
∏ cp |
16 |
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 |
[3:112:1] |
Generators of the group modulo torsion |
j |
768400132/263169 |
j-invariant |
L |
2.4954051649011 |
L(r)(E,1)/r! |
Ω |
0.92482610714469 |
Real period |
R |
2.6982425621671 |
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 |
2736j2 10944be2 456b2 34200p2 |
Quadratic twists by: -4 8 -3 5 |