Atkin-Lehner |
2+ 3+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
1008b |
Isogeny class |
Conductor |
1008 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-338688 = -1 · 28 · 33 · 72 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ 6 -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,9,-26] |
[a1,a2,a3,a4,a6] |
Generators |
[5:12:1] |
Generators of the group modulo torsion |
j |
11664/49 |
j-invariant |
L |
2.2706447932147 |
L(r)(E,1)/r! |
Ω |
1.5379138352003 |
Real period |
R |
0.73822237021458 |
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 |
504e2 4032t2 1008a2 25200m2 |
Quadratic twists by: -4 8 -3 5 |