Atkin-Lehner |
2- 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
30272bb |
Isogeny class |
Conductor |
30272 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-19716799725568 = -1 · 219 · 11 · 434 |
Discriminant |
Eigenvalues |
2- 0 -2 0 11+ -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,5044,-163184] |
[a1,a2,a3,a4,a6] |
Generators |
[170688:-13572188:27] |
Generators of the group modulo torsion |
j |
54138849687/75213622 |
j-invariant |
L |
3.7376245574715 |
L(r)(E,1)/r! |
Ω |
0.36424047524297 |
Real period |
R |
10.261420164737 |
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 |
30272l3 7568l4 |
Quadratic twists by: -4 8 |