Atkin-Lehner |
2- 3- 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
46992p |
Isogeny class |
Conductor |
46992 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
1089807637248 = 28 · 33 · 116 · 89 |
Discriminant |
Eigenvalues |
2- 3- 2 0 11- -4 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12372,-531432] |
[a1,a2,a3,a4,a6] |
Generators |
[8196:1815:64] |
Generators of the group modulo torsion |
j |
818160641289808/4257061083 |
j-invariant |
L |
8.3612918742578 |
L(r)(E,1)/r! |
Ω |
0.45281695915527 |
Real period |
R |
4.103346447997 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000019 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11748a2 |
Quadratic twists by: -4 |