Atkin-Lehner |
2- 3- 11+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
116688y |
Isogeny class |
Conductor |
116688 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
56733696 |
Modular degree for the optimal curve |
Δ |
-2.268597920526E+27 |
Discriminant |
Eigenvalues |
2- 3- -2 0 11+ 13- 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,14325376,2291499603636] |
[a1,a2,a3,a4,a6] |
j |
79374649975090937760383/553856914190911653543936 |
j-invariant |
L |
0.43591233714389 |
L(r)(E,1)/r! |
Ω |
0.03632609411391 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14586k1 |
Quadratic twists by: -4 |