Atkin-Lehner |
5+ 7+ 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
11165a |
Isogeny class |
Conductor |
11165 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
2838208594375 = 54 · 76 · 113 · 29 |
Discriminant |
Eigenvalues |
-1 0 5+ 7+ 11+ -4 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-205683,-35852644] |
[a1,a2,a3,a4,a6] |
Generators |
[4638:47963:8] |
Generators of the group modulo torsion |
j |
962314272240090132609/2838208594375 |
j-invariant |
L |
1.8206451329384 |
L(r)(E,1)/r! |
Ω |
0.22418172003352 |
Real period |
R |
8.1212916586874 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100485y2 55825j2 78155i2 122815h2 |
Quadratic twists by: -3 5 -7 -11 |