Atkin-Lehner |
2+ 3- 5- 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
42570p |
Isogeny class |
Conductor |
42570 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
39024896850609120 = 25 · 318 · 5 · 114 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 11- 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-346779,-77937467] |
[a1,a2,a3,a4,a6] |
Generators |
[-321:635:1] |
Generators of the group modulo torsion |
j |
6326379756588117169/53532094445280 |
j-invariant |
L |
4.2401638058415 |
L(r)(E,1)/r! |
Ω |
0.19683756412735 |
Real period |
R |
5.3853590200657 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999943 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14190k4 |
Quadratic twists by: -3 |