Atkin-Lehner |
3- 11- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
8217k |
Isogeny class |
Conductor |
8217 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4200 |
Modular degree for the optimal curve |
Δ |
-55242891 = -1 · 36 · 11 · 832 |
Discriminant |
Eigenvalues |
-2 3- -3 -4 11- -2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-9,-358] |
[a1,a2,a3,a4,a6] |
Generators |
[13:41:1] |
Generators of the group modulo torsion |
j |
-110592/75779 |
j-invariant |
L |
1.2128918670785 |
L(r)(E,1)/r! |
Ω |
0.89489038278174 |
Real period |
R |
0.67767622181181 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
913b1 90387t1 |
Quadratic twists by: -3 -11 |