Atkin-Lehner |
3- 5+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
78585j |
Isogeny class |
Conductor |
78585 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-66864892117335 = -1 · 3 · 5 · 136 · 314 |
Discriminant |
Eigenvalues |
1 3- 5+ 4 4 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,10136,22817] |
[a1,a2,a3,a4,a6] |
Generators |
[56808108:-2920613555:21952] |
Generators of the group modulo torsion |
j |
23862997439/13852815 |
j-invariant |
L |
10.824533458775 |
L(r)(E,1)/r! |
Ω |
0.37220404923936 |
Real period |
R |
14.541128019521 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000026 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
465b4 |
Quadratic twists by: 13 |