Atkin-Lehner |
2+ 3- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
98736bb |
Isogeny class |
Conductor |
98736 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
23992848 = 24 · 36 · 112 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 2 2 11- -5 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-832,-9517] |
[a1,a2,a3,a4,a6] |
Generators |
[-134:3:8] |
Generators of the group modulo torsion |
j |
32938985728/12393 |
j-invariant |
L |
11.028329513901 |
L(r)(E,1)/r! |
Ω |
0.8888634308887 |
Real period |
R |
2.0678710056583 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012289 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49368e1 98736bg1 |
Quadratic twists by: -4 -11 |