Atkin-Lehner |
2+ 3+ 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
9768a |
Isogeny class |
Conductor |
9768 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
44932174848 = 210 · 34 · 114 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 2 0 11+ 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1152,-10692] |
[a1,a2,a3,a4,a6] |
j |
165256339972/43879077 |
j-invariant |
L |
1.6712590350213 |
L(r)(E,1)/r! |
Ω |
0.83562951751065 |
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 |
19536n3 78144bl4 29304r4 107448o4 |
Quadratic twists by: -4 8 -3 -11 |