Atkin-Lehner |
2- 3- 5- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
42480bw |
Isogeny class |
Conductor |
42480 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
129359195424000 = 28 · 39 · 53 · 593 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 3 -1 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-82272,-9066436] |
[a1,a2,a3,a4,a6] |
j |
329998817296384/693154125 |
j-invariant |
L |
3.3831604361466 |
L(r)(E,1)/r! |
Ω |
0.28193003634397 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10620o2 14160p2 |
Quadratic twists by: -4 -3 |