Atkin-Lehner |
3- 5+ 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
53475j |
Isogeny class |
Conductor |
53475 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
Δ |
1.9149391755615E+19 |
Discriminant |
Eigenvalues |
1 3- 5+ -2 -4 4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2044151,-1105201177] |
[a1,a2,a3,a4,a6] |
Generators |
[-6954:34523:8] |
Generators of the group modulo torsion |
j |
60456402655188448609/1225561072359375 |
j-invariant |
L |
7.5376582627427 |
L(r)(E,1)/r! |
Ω |
0.12641729262325 |
Real period |
R |
2.1294719671975 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000075 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10695a2 |
Quadratic twists by: 5 |