Atkin-Lehner |
2- 3- 5- 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
56610ba |
Isogeny class |
Conductor |
56610 |
Conductor |
∏ cp |
672 |
Product of Tamagawa factors cp |
Δ |
5.3592269923881E+23 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 0 -4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-23774702,27397576829] |
[a1,a2,a3,a4,a6] |
Generators |
[-3903:248371:1] |
Generators of the group modulo torsion |
j |
2038644091523375265131929/735147735581359440000 |
j-invariant |
L |
8.1882696111685 |
L(r)(E,1)/r! |
Ω |
0.084737839846331 |
Real period |
R |
0.57518223446804 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999327 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18870l2 |
Quadratic twists by: -3 |