Atkin-Lehner |
2- 5+ 7+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
40040f |
Isogeny class |
Conductor |
40040 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
7343586772121600 = 211 · 52 · 73 · 114 · 134 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ 11+ 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-372683,87473318] |
[a1,a2,a3,a4,a6] |
j |
2795197557762143298/3585735728575 |
j-invariant |
L |
0.83441839447736 |
L(r)(E,1)/r! |
Ω |
0.41720919723548 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
80080d4 |
Quadratic twists by: -4 |