Atkin-Lehner |
2- 7- 11- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
22484f |
Isogeny class |
Conductor |
22484 |
Conductor |
∏ cp |
45 |
Product of Tamagawa factors cp |
deg |
16560 |
Modular degree for the optimal curve |
Δ |
64520895824 = 24 · 73 · 115 · 73 |
Discriminant |
Eigenvalues |
2- 0 -3 7- 11- 0 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1004,761] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:99:1] [-8:91:1] |
Generators of the group modulo torsion |
j |
6995276218368/4032555989 |
j-invariant |
L |
6.6829935198995 |
L(r)(E,1)/r! |
Ω |
0.93951836290779 |
Real period |
R |
0.15807138313851 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89936i1 |
Quadratic twists by: -4 |