Atkin-Lehner |
2- 5- 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
40040s |
Isogeny class |
Conductor |
40040 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
4834269440 = 28 · 5 · 74 · 112 · 13 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 11- 13- -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2687,53506] |
[a1,a2,a3,a4,a6] |
j |
8380824495696/18883865 |
j-invariant |
L |
2.744631401051 |
L(r)(E,1)/r! |
Ω |
1.3723157005191 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
80080k1 |
Quadratic twists by: -4 |