Atkin-Lehner |
3- 5+ 29- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
56115j |
Isogeny class |
Conductor |
56115 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-7.9601460385748E+21 |
Discriminant |
Eigenvalues |
-1 3- 5+ 2 0 2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2796683,4655467352] |
[a1,a2,a3,a4,a6] |
Generators |
[-633:78877:1] |
Generators of the group modulo torsion |
j |
-3318377314503808719721/10919267542626643125 |
j-invariant |
L |
3.7688825958912 |
L(r)(E,1)/r! |
Ω |
0.11524843784788 |
Real period |
R |
2.7251870440255 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996936 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18705h2 |
Quadratic twists by: -3 |