Atkin-Lehner |
2- 3- 7- 11- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
41118y |
Isogeny class |
Conductor |
41118 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
18597589164 = 22 · 32 · 72 · 113 · 892 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11- -2 8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-255539,49699029] |
[a1,a2,a3,a4,a6] |
Generators |
[294:-81:1] |
Generators of the group modulo torsion |
j |
1845420714427476893617/18597589164 |
j-invariant |
L |
10.227494363429 |
L(r)(E,1)/r! |
Ω |
0.85571870752557 |
Real period |
R |
0.99599458263146 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123354v2 |
Quadratic twists by: -3 |