Atkin-Lehner |
2- 3+ 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
58560cc |
Isogeny class |
Conductor |
58560 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3.3450431782846E+22 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-20509121,34656333921] |
[a1,a2,a3,a4,a6] |
j |
3639359463108865006321/127603270656000000 |
j-invariant |
L |
0.23155036965373 |
L(r)(E,1)/r! |
Ω |
0.11577518606505 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
58560z2 14640bl2 |
Quadratic twists by: -4 8 |