Atkin-Lehner |
2- 5- 7- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
117040co |
Isogeny class |
Conductor |
117040 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
1769472 |
Modular degree for the optimal curve |
Δ |
-1.4522436798597E+19 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 11- 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,595933,47571746] |
[a1,a2,a3,a4,a6] |
Generators |
[-65:2926:1] |
Generators of the group modulo torsion |
j |
5714208331470843399/3545516796532480 |
j-invariant |
L |
7.9444994735023 |
L(r)(E,1)/r! |
Ω |
0.13742978365314 |
Real period |
R |
1.2043270469669 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011219 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14630i1 |
Quadratic twists by: -4 |