Atkin-Lehner |
2+ 3+ 11+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
15642a |
Isogeny class |
Conductor |
15642 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-2968486008418656 = -1 · 25 · 39 · 112 · 794 |
Discriminant |
Eigenvalues |
2+ 3+ -2 4 11+ 4 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-34008,3572000] |
[a1,a2,a3,a4,a6] |
j |
-220995219282579/150814713632 |
j-invariant |
L |
1.6638728010454 |
L(r)(E,1)/r! |
Ω |
0.41596820026135 |
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 |
125136k2 15642f2 |
Quadratic twists by: -4 -3 |