Atkin-Lehner |
2- 3- 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
15960n |
Isogeny class |
Conductor |
15960 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
2063244960000 = 28 · 36 · 54 · 72 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -4 -2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4996,-118720] |
[a1,a2,a3,a4,a6] |
Generators |
[-46:126:1] |
Generators of the group modulo torsion |
j |
53881287098704/8059550625 |
j-invariant |
L |
4.9750563176108 |
L(r)(E,1)/r! |
Ω |
0.573544215099 |
Real period |
R |
0.72285277325308 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
31920g2 127680be2 47880o2 79800d2 |
Quadratic twists by: -4 8 -3 5 |