Atkin-Lehner |
3- 5- 13- 67- |
Signs for the Atkin-Lehner involutions |
Class |
13065q |
Isogeny class |
Conductor |
13065 |
Conductor |
∏ cp |
960 |
Product of Tamagawa factors cp |
deg |
1935360 |
Modular degree for the optimal curve |
Δ |
-6.9230304499553E+22 |
Discriminant |
Eigenvalues |
2 3- 5- 0 -2 13- -1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,9793160,4597962931] |
[a1,a2,a3,a4,a6] |
Generators |
[82810:8818871:8] |
Generators of the group modulo torsion |
j |
103870498974545790235602944/69230304499553026171875 |
j-invariant |
L |
11.253892382057 |
L(r)(E,1)/r! |
Ω |
0.068874507094362 |
Real period |
R |
0.17020527709305 |
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 |
39195n1 65325e1 |
Quadratic twists by: -3 5 |