Atkin-Lehner |
3+ 17+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
40749d |
Isogeny class |
Conductor |
40749 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
479879009289 = 32 · 176 · 472 |
Discriminant |
Eigenvalues |
-1 3+ -2 0 -4 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-13589,603146] |
[a1,a2,a3,a4,a6] |
Generators |
[53:161:1] |
Generators of the group modulo torsion |
j |
11497268593/19881 |
j-invariant |
L |
1.7982429429808 |
L(r)(E,1)/r! |
Ω |
0.93374078329747 |
Real period |
R |
1.9258481316738 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999982 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
122247q2 141c2 |
Quadratic twists by: -3 17 |