Atkin-Lehner |
2+ 3+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
3648b |
Isogeny class |
Conductor |
3648 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-551905394688 = -1 · 221 · 36 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -4 0 4 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2047,2049] |
[a1,a2,a3,a4,a6] |
Generators |
[1:64:1] |
Generators of the group modulo torsion |
j |
3616805375/2105352 |
j-invariant |
L |
2.7460827534404 |
L(r)(E,1)/r! |
Ω |
0.55664695858085 |
Real period |
R |
1.2333143616025 |
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 |
3648bh2 114a2 10944o2 91200dh2 |
Quadratic twists by: -4 8 -3 5 |