Atkin-Lehner |
2+ 3- 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
58560z |
Isogeny class |
Conductor |
58560 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1.3725E+26 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-322522561,-2299659377761] |
[a1,a2,a3,a4,a6] |
j |
-14153507863526516575422961/523567199707031250000 |
j-invariant |
L |
3.5548183353686 |
L(r)(E,1)/r! |
Ω |
0.017774091682686 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
100 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58560cc5 1830g6 |
Quadratic twists by: -4 8 |