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 |
-63331648512 = -1 · 210 · 3 · 11 · 374 |
Discriminant |
Eigenvalues |
2+ 3+ 2 0 11+ 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,248,11932] |
[a1,a2,a3,a4,a6] |
j |
1640689628/61847313 |
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 |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
19536n4 78144bl3 29304r3 107448o3 |
Quadratic twists by: -4 8 -3 -11 |