Atkin-Lehner |
2+ 3+ 19+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
6726a |
Isogeny class |
Conductor |
6726 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
839878525632 = 26 · 3 · 192 · 594 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 4 -2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-369736,86379904] |
[a1,a2,a3,a4,a6] |
j |
5589857836770882755977/839878525632 |
j-invariant |
L |
0.69697079579125 |
L(r)(E,1)/r! |
Ω |
0.69697079579125 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
53808w4 20178n3 127794br4 |
Quadratic twists by: -4 -3 -19 |