Atkin-Lehner |
2- 3+ 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
58560ca |
Isogeny class |
Conductor |
58560 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
65572208640000 = 218 · 38 · 54 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 0 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-23521,1340545] |
[a1,a2,a3,a4,a6] |
j |
5489965305721/250138125 |
j-invariant |
L |
1.2258340010743 |
L(r)(E,1)/r! |
Ω |
0.61291700052755 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58560x4 14640bj3 |
Quadratic twists by: -4 8 |