Atkin-Lehner |
2- 3+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
3648w |
Isogeny class |
Conductor |
3648 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-4435968 = -1 · 212 · 3 · 192 |
Discriminant |
Eigenvalues |
2- 3+ -2 4 6 2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9,105] |
[a1,a2,a3,a4,a6] |
j |
-21952/1083 |
j-invariant |
L |
2.0335841506392 |
L(r)(E,1)/r! |
Ω |
2.0335841506392 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3648bi2 1824k1 10944ca2 91200hx2 |
Quadratic twists by: -4 8 -3 5 |