Atkin-Lehner |
3- 11+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
8217g |
Isogeny class |
Conductor |
8217 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
80072305545969 = 38 · 116 · 832 |
Discriminant |
Eigenvalues |
-1 3- -2 -4 11+ 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-331421,-73353324] |
[a1,a2,a3,a4,a6] |
Generators |
[20837:2996193:1] |
Generators of the group modulo torsion |
j |
5522491110307729033/109838553561 |
j-invariant |
L |
1.653981275555 |
L(r)(E,1)/r! |
Ω |
0.19897804956578 |
Real period |
R |
8.3123805825031 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
2739d2 90387j2 |
Quadratic twists by: -3 -11 |