Atkin-Lehner |
2- 3- 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
87204l |
Isogeny class |
Conductor |
87204 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
532224 |
Modular degree for the optimal curve |
Δ |
-651579596551728 = -1 · 24 · 33 · 138 · 432 |
Discriminant |
Eigenvalues |
2- 3- -2 4 -4 13+ -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-29969,2334372] |
[a1,a2,a3,a4,a6] |
Generators |
[-32:1806:1] |
Generators of the group modulo torsion |
j |
-38545604608/8436987 |
j-invariant |
L |
8.0354062882015 |
L(r)(E,1)/r! |
Ω |
0.48925255590401 |
Real period |
R |
2.73730686379 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014665 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6708f1 |
Quadratic twists by: 13 |