Atkin-Lehner |
3+ 5- 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
109005f |
Isogeny class |
Conductor |
109005 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3.5187412714888E+19 |
Discriminant |
Eigenvalues |
-1 3+ 5- 0 0 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-820245,-17807418] |
[a1,a2,a3,a4,a6] |
j |
12644288794709209/7289994842325 |
j-invariant |
L |
1.3831582071871 |
L(r)(E,1)/r! |
Ω |
0.17289474434705 |
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 |
8385b3 |
Quadratic twists by: 13 |