Atkin-Lehner |
2- 3- 5+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
39780l |
Isogeny class |
Conductor |
39780 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1077120 |
Modular degree for the optimal curve |
Δ |
-7.6277994797343E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 2 13+ 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6333168,6148881092] |
[a1,a2,a3,a4,a6] |
Generators |
[1768:21870:1] |
Generators of the group modulo torsion |
j |
-150528677004615417856/408725537965875 |
j-invariant |
L |
4.6358492575666 |
L(r)(E,1)/r! |
Ω |
0.19412686907397 |
Real period |
R |
1.9900427658819 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13260g1 |
Quadratic twists by: -3 |