Atkin-Lehner |
5+ 7- 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
11165b |
Isogeny class |
Conductor |
11165 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
161261851953125 = 58 · 76 · 112 · 29 |
Discriminant |
Eigenvalues |
1 2 5+ 7- 11+ -6 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-14248,-241017] |
[a1,a2,a3,a4,a6] |
j |
319913861015774089/161261851953125 |
j-invariant |
L |
2.7643486491914 |
L(r)(E,1)/r! |
Ω |
0.46072477486522 |
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 |
100485bd2 55825a2 78155h2 122815d2 |
Quadratic twists by: -3 5 -7 -11 |