Atkin-Lehner |
2- 13- |
Signs for the Atkin-Lehner involutions |
Class |
10816bn |
Isogeny class |
Conductor |
10816 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-4607442944 = -1 · 221 · 133 |
Discriminant |
Eigenvalues |
2- -1 3 3 0 13- -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,191,3041] |
[a1,a2,a3,a4,a6] |
Generators |
[5:64:1] |
Generators of the group modulo torsion |
j |
1331/8 |
j-invariant |
L |
4.8372480098815 |
L(r)(E,1)/r! |
Ω |
0.9949969735808 |
Real period |
R |
0.60769632198895 |
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 |
10816s1 2704n1 97344go1 10816bo1 |
Quadratic twists by: -4 8 -3 13 |