Atkin-Lehner |
2- 5- 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
40040s |
Isogeny class |
Conductor |
40040 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
3103798297600 = 210 · 52 · 72 · 114 · 132 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 11- 13- -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3667,10974] |
[a1,a2,a3,a4,a6] |
j |
5325452132004/3031053025 |
j-invariant |
L |
2.744631401051 |
L(r)(E,1)/r! |
Ω |
0.68615785025955 |
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 |
80080k2 |
Quadratic twists by: -4 |