Atkin-Lehner |
5- 13+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
56615d |
Isogeny class |
Conductor |
56615 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
6322264793187785 = 5 · 137 · 674 |
Discriminant |
Eigenvalues |
-1 0 5- 0 4 13+ 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-74392,-6789974] |
[a1,a2,a3,a4,a6] |
j |
9432717529689/1309822865 |
j-invariant |
L |
0.58349193000932 |
L(r)(E,1)/r! |
Ω |
0.29174596375029 |
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 |
4355a3 |
Quadratic twists by: 13 |