Atkin-Lehner |
2+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
113288b |
Isogeny class |
Conductor |
113288 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4752384 |
Modular degree for the optimal curve |
Δ |
-7.0004276123421E+20 |
Discriminant |
Eigenvalues |
2+ 1 -4 7+ 1 1 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,561720,1262808224] |
[a1,a2,a3,a4,a6] |
Generators |
[-1181884:10702684:1331] |
Generators of the group modulo torsion |
j |
28 |
j-invariant |
L |
5.4532504115008 |
L(r)(E,1)/r! |
Ω |
0.12152251438327 |
Real period |
R |
11.218601117835 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999059129 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113288j1 113288c1 |
Quadratic twists by: -7 17 |