Atkin-Lehner |
3- 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
56277k |
Isogeny class |
Conductor |
56277 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
3.7075837052237E+23 |
Discriminant |
Eigenvalues |
1 3- 2 -2 4 13+ 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-22837086,-30098266691] |
[a1,a2,a3,a4,a6] |
Generators |
[575311020:11766771589:103823] |
Generators of the group modulo torsion |
j |
374333024086048873/105366686438403 |
j-invariant |
L |
8.3334774544765 |
L(r)(E,1)/r! |
Ω |
0.07053501065318 |
Real period |
R |
9.8455568109338 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999136 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18759g2 4329f2 |
Quadratic twists by: -3 13 |