Atkin-Lehner |
2- 3- 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
87120fe |
Isogeny class |
Conductor |
87120 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
298075852800 = 212 · 37 · 52 · 113 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 11+ -4 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1947,-20086] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:72:1] [-22:110:1] |
Generators of the group modulo torsion |
j |
205379/75 |
j-invariant |
L |
11.020396256292 |
L(r)(E,1)/r! |
Ω |
0.74069136177544 |
Real period |
R |
0.92990792326524 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000133 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5445j1 29040bv1 87120fb1 |
Quadratic twists by: -4 -3 -11 |