Atkin-Lehner |
2+ 3- 5- 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
42570p |
Isogeny class |
Conductor |
42570 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
14804297218260000 = 25 · 39 · 54 · 11 · 434 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 11- 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-464859,121967365] |
[a1,a2,a3,a4,a6] |
Generators |
[-79:12617:1] |
Generators of the group modulo torsion |
j |
15239139344543875249/20307677940000 |
j-invariant |
L |
4.2401638058415 |
L(r)(E,1)/r! |
Ω |
0.3936751282547 |
Real period |
R |
1.3463397550164 |
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 |
14190k3 |
Quadratic twists by: -3 |