Atkin-Lehner |
2- 3- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
47610cc |
Isogeny class |
Conductor |
47610 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
808255330875000 = 23 · 312 · 56 · 233 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 0 4 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-23387,-149101] |
[a1,a2,a3,a4,a6] |
Generators |
[-63:1066:1] |
Generators of the group modulo torsion |
j |
159484621967/91125000 |
j-invariant |
L |
10.544659531305 |
L(r)(E,1)/r! |
Ω |
0.41811321554987 |
Real period |
R |
0.70054520715885 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999889 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15870i2 47610bp2 |
Quadratic twists by: -3 -23 |