Atkin-Lehner |
2- 3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
63480i |
Isogeny class |
Conductor |
63480 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1.1324075660433E+27 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,204786304,-1161526917780] |
[a1,a2,a3,a4,a6] |
Generators |
[15033372268309590917296291024398891392340242154886722998389:-2004914860080716116618514129542724573181252153766640981537472:1628286627463121145445881678039730990533556107073352129] |
Generators of the group modulo torsion |
j |
3132776881711582558/3735130619961225 |
j-invariant |
L |
4.541789498533 |
L(r)(E,1)/r! |
Ω |
0.02624476996687 |
Real period |
R |
86.527515848288 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000104 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126960m5 2760f6 |
Quadratic twists by: -4 -23 |