Atkin-Lehner |
2- 3- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
1008i |
Isogeny class |
Conductor |
1008 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-65548320768 = -1 · 218 · 36 · 73 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 0 -4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,645,-10582] |
[a1,a2,a3,a4,a6] |
Generators |
[31:198:1] |
Generators of the group modulo torsion |
j |
9938375/21952 |
j-invariant |
L |
2.4075899134388 |
L(r)(E,1)/r! |
Ω |
0.57196415584596 |
Real period |
R |
2.1046685258431 |
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 |
126a3 4032z3 112c3 25200eh3 |
Quadratic twists by: -4 8 -3 5 |