Atkin-Lehner |
2+ 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
81312t |
Isogeny class |
Conductor |
81312 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
457147772928 = 212 · 32 · 7 · 116 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 11- -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-40817,3160287] |
[a1,a2,a3,a4,a6] |
Generators |
[6986:201465:8] |
Generators of the group modulo torsion |
j |
1036433728/63 |
j-invariant |
L |
9.1769953517206 |
L(r)(E,1)/r! |
Ω |
0.88824595967913 |
Real period |
R |
5.1657962804555 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002659 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81312l4 672h2 |
Quadratic twists by: -4 -11 |