Atkin-Lehner |
2- 3+ 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
111552ci |
Isogeny class |
Conductor |
111552 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
3870720 |
Modular degree for the optimal curve |
Δ |
-3.8523369576361E+21 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 1 -2 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,799647,-2973765375] |
[a1,a2,a3,a4,a6] |
Generators |
[1803:65772:1] |
Generators of the group modulo torsion |
j |
215713926386390375/14695499258560512 |
j-invariant |
L |
6.3295902938738 |
L(r)(E,1)/r! |
Ω |
0.066537938629813 |
Real period |
R |
3.3974120806391 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999861994 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111552bi1 27888bk1 |
Quadratic twists by: -4 8 |