Atkin-Lehner |
2- 5- 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
40040s |
Isogeny class |
Conductor |
40040 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-199748179671040 = -1 · 211 · 5 · 7 · 118 · 13 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 11- 13- -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,14533,87414] |
[a1,a2,a3,a4,a6] |
j |
165752306501598/97533290855 |
j-invariant |
L |
2.744631401051 |
L(r)(E,1)/r! |
Ω |
0.34307892512978 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
80080k3 |
Quadratic twists by: -4 |