Atkin-Lehner |
2- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
40768eb |
Isogeny class |
Conductor |
40768 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
20544588087296 = 221 · 73 · 134 |
Discriminant |
Eigenvalues |
2- -2 2 7- 4 13- 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-17537,861055] |
[a1,a2,a3,a4,a6] |
j |
6634074439/228488 |
j-invariant |
L |
2.712889268062 |
L(r)(E,1)/r! |
Ω |
0.67822231699769 |
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 |
40768br2 10192y2 40768cw2 |
Quadratic twists by: -4 8 -7 |