Atkin-Lehner |
2- 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
47320t |
Isogeny class |
Conductor |
47320 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
393702400 = 210 · 52 · 7 · 133 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ 0 13- -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1963,33462] |
[a1,a2,a3,a4,a6] |
Generators |
[27:12:1] |
Generators of the group modulo torsion |
j |
371838708/175 |
j-invariant |
L |
4.3106859301129 |
L(r)(E,1)/r! |
Ω |
1.6631318808986 |
Real period |
R |
1.2959543315908 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
94640o2 47320p2 |
Quadratic twists by: -4 13 |