Atkin-Lehner |
3+ 5- 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
109005f |
Isogeny class |
Conductor |
109005 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1333780908639075 = 32 · 52 · 1310 · 43 |
Discriminant |
Eigenvalues |
-1 3+ 5- 0 0 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-8720995,9909184982] |
[a1,a2,a3,a4,a6] |
j |
15197134735944161209/276327675 |
j-invariant |
L |
1.3831582071871 |
L(r)(E,1)/r! |
Ω |
0.3457894886941 |
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 |
8385b4 |
Quadratic twists by: 13 |