Atkin-Lehner |
2- 3- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
672f |
Isogeny class |
Conductor |
672 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
10752 = 29 · 3 · 7 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ -4 -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-224,-1368] |
[a1,a2,a3,a4,a6] |
Generators |
[27:114:1] |
Generators of the group modulo torsion |
j |
2438569736/21 |
j-invariant |
L |
2.2099943157884 |
L(r)(E,1)/r! |
Ω |
1.2336055843599 |
Real period |
R |
3.5829836437309 |
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 |
672e3 1344k3 2016c3 16800k2 |
Quadratic twists by: -4 8 -3 5 |