Atkin-Lehner |
3+ 5- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
42075o |
Isogeny class |
Conductor |
42075 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
223132271484375 = 33 · 59 · 114 · 172 |
Discriminant |
Eigenvalues |
-1 3+ 5- 0 11+ 4 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-577055,-168576928] |
[a1,a2,a3,a4,a6] |
j |
402977528146647/4231249 |
j-invariant |
L |
0.69287609240582 |
L(r)(E,1)/r! |
Ω |
0.17321902309676 |
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 |
42075r2 42075p2 |
Quadratic twists by: -3 5 |