Atkin-Lehner |
2- 3+ 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
58560cc |
Isogeny class |
Conductor |
58560 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
26228883456000000 = 222 · 38 · 56 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5205333441,144552683537505] |
[a1,a2,a3,a4,a6] |
j |
59501710967615564842432531441/100055250000 |
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 |
2 |
Number of elements in the torsion subgroup |
Twists |
58560z6 14640bl5 |
Quadratic twists by: -4 8 |