Atkin-Lehner |
2+ 3+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
12768b |
Isogeny class |
Conductor |
12768 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-11644416 = -1 · 29 · 32 · 7 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ -2 2 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,56,-56] |
[a1,a2,a3,a4,a6] |
Generators |
[5:18:1] |
Generators of the group modulo torsion |
j |
37259704/22743 |
j-invariant |
L |
3.0436345013041 |
L(r)(E,1)/r! |
Ω |
1.3114237439473 |
Real period |
R |
2.3208627381893 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12768j2 25536cx2 38304bh2 89376y2 |
Quadratic twists by: -4 8 -3 -7 |