Atkin-Lehner |
2+ 3- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
21294z |
Isogeny class |
Conductor |
21294 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
82693047370752 = 210 · 37 · 75 · 133 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 0 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-121653,-16295499] |
[a1,a2,a3,a4,a6] |
Generators |
[-201:177:1] |
Generators of the group modulo torsion |
j |
124318741396429/51631104 |
j-invariant |
L |
2.8050682057082 |
L(r)(E,1)/r! |
Ω |
0.25564041061255 |
Real period |
R |
2.7431776132213 |
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 |
7098y3 21294cv3 |
Quadratic twists by: -3 13 |