Atkin-Lehner |
2- 3- 5+ 13- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
104130bp |
Isogeny class |
Conductor |
104130 |
Conductor |
∏ cp |
1920 |
Product of Tamagawa factors cp |
deg |
15667200 |
Modular degree for the optimal curve |
Δ |
-2.1851964250716E+23 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -4 13- 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,11448877,16834870131] |
[a1,a2,a3,a4,a6] |
Generators |
[-805:-83838:1] [-8546:469695:8] |
Generators of the group modulo torsion |
j |
227659033695627003426839/299752596031773081600 |
j-invariant |
L |
14.181915135986 |
L(r)(E,1)/r! |
Ω |
0.067111491049587 |
Real period |
R |
0.44024735661412 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000099 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34710h1 |
Quadratic twists by: -3 |