Atkin-Lehner |
7+ 11- 71- |
Signs for the Atkin-Lehner involutions |
Class |
5467b |
Isogeny class |
Conductor |
5467 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
9026196160084123559 = 76 · 118 · 713 |
Discriminant |
Eigenvalues |
1 2 -2 7+ 11- 4 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1804236,-922283635] |
[a1,a2,a3,a4,a6] |
Generators |
[-22020:85205:27] |
Generators of the group modulo torsion |
j |
649537336994907514667977/9026196160084123559 |
j-invariant |
L |
5.6470202361157 |
L(r)(E,1)/r! |
Ω |
0.13037415953692 |
Real period |
R |
3.6094960945312 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87472d2 49203a2 38269h2 60137c2 |
Quadratic twists by: -4 -3 -7 -11 |