Atkin-Lehner |
3- 5+ 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
71775w |
Isogeny class |
Conductor |
71775 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-3291729881923828125 = -1 · 38 · 510 · 116 · 29 |
Discriminant |
Eigenvalues |
-1 3- 5+ -2 11+ 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-433130,-140097378] |
[a1,a2,a3,a4,a6] |
j |
-788914637557201/288985888125 |
j-invariant |
L |
0.73100856036785 |
L(r)(E,1)/r! |
Ω |
0.091376071071662 |
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 |
23925h2 14355a2 |
Quadratic twists by: -3 5 |