Atkin-Lehner |
3- 11- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
117249l |
Isogeny class |
Conductor |
117249 |
Conductor |
∏ cp |
13 |
Product of Tamagawa factors cp |
deg |
12737088 |
Modular degree for the optimal curve |
Δ |
-1.2804964593105E+23 |
Discriminant |
Eigenvalues |
1 3- 3 3 11- 2 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-33121817,75360283337] |
[a1,a2,a3,a4,a6] |
Generators |
[-4775595:514456793:1331] |
Generators of the group modulo torsion |
j |
-274470335171486440642777/8745963112563846489 |
j-invariant |
L |
15.179148801072 |
L(r)(E,1)/r! |
Ω |
0.10374310250179 |
Real period |
R |
11.254982760122 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006102 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117249bd1 |
Quadratic twists by: -11 |