Atkin-Lehner |
2+ 3+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
3648h |
Isogeny class |
Conductor |
3648 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
119771136 = 212 · 34 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -4 -4 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-457,-3575] |
[a1,a2,a3,a4,a6] |
j |
2582630848/29241 |
j-invariant |
L |
1.0330908321596 |
L(r)(E,1)/r! |
Ω |
1.0330908321596 |
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 |
3648l2 1824i1 10944bi2 91200dz2 |
Quadratic twists by: -4 8 -3 5 |