Atkin-Lehner |
3- 5- 13- 67- |
Signs for the Atkin-Lehner involutions |
Class |
39195w |
Isogeny class |
Conductor |
39195 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
11904 |
Modular degree for the optimal curve |
Δ |
-85719465 = -1 · 39 · 5 · 13 · 67 |
Discriminant |
Eigenvalues |
-1 3- 5- -3 3 13- -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,58,-426] |
[a1,a2,a3,a4,a6] |
Generators |
[8:18:1] |
Generators of the group modulo torsion |
j |
30080231/117585 |
j-invariant |
L |
2.976500192902 |
L(r)(E,1)/r! |
Ω |
0.9721671534882 |
Real period |
R |
1.5308582388445 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999973 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13065e1 |
Quadratic twists by: -3 |