Atkin-Lehner |
2- 7- 11- 67- |
Signs for the Atkin-Lehner involutions |
Class |
10318j |
Isogeny class |
Conductor |
10318 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
Δ |
-2269557598 = -1 · 2 · 73 · 11 · 673 |
Discriminant |
Eigenvalues |
2- -2 0 7- 11- 5 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-508,-5010] |
[a1,a2,a3,a4,a6] |
Generators |
[262:807:8] |
Generators of the group modulo torsion |
j |
-14500009266625/2269557598 |
j-invariant |
L |
5.0192635580205 |
L(r)(E,1)/r! |
Ω |
0.49850949486896 |
Real period |
R |
1.1187268379668 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82544s2 92862v2 72226o2 113498e2 |
Quadratic twists by: -4 -3 -7 -11 |