Atkin-Lehner |
2- 5- 23- 29- |
Signs for the Atkin-Lehner involutions |
Class |
53360r |
Isogeny class |
Conductor |
53360 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
15154491456225280 = 233 · 5 · 233 · 29 |
Discriminant |
Eigenvalues |
2- -1 5- -2 3 -1 6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-241800,45460720] |
[a1,a2,a3,a4,a6] |
Generators |
[532:8192:1] |
Generators of the group modulo torsion |
j |
381710801681656201/3699827015680 |
j-invariant |
L |
5.4276449497665 |
L(r)(E,1)/r! |
Ω |
0.39554675640479 |
Real period |
R |
1.1434899629238 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999542 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6670c2 |
Quadratic twists by: -4 |