Atkin-Lehner |
2- 3- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
40344g |
Isogeny class |
Conductor |
40344 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-63826808678811648 = -1 · 211 · 38 · 416 |
Discriminant |
Eigenvalues |
2- 3- -2 0 -4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,26336,-12034528] |
[a1,a2,a3,a4,a6] |
Generators |
[3578:75645:8] |
Generators of the group modulo torsion |
j |
207646/6561 |
j-invariant |
L |
5.4997024291113 |
L(r)(E,1)/r! |
Ω |
0.16839558062083 |
Real period |
R |
4.0824278232513 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999981 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
80688e5 121032f5 24a6 |
Quadratic twists by: -4 -3 41 |