Atkin-Lehner |
2+ 3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
55440o |
Isogeny class |
Conductor |
55440 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1355454777600 = 28 · 36 · 52 · 74 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11- -6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6543,-195858] |
[a1,a2,a3,a4,a6] |
Generators |
[-51:72:1] |
Generators of the group modulo torsion |
j |
165991931856/7263025 |
j-invariant |
L |
4.3583193188226 |
L(r)(E,1)/r! |
Ω |
0.53226566025094 |
Real period |
R |
2.0470601638903 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999924 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
27720bk2 6160c2 |
Quadratic twists by: -4 -3 |