Atkin-Lehner |
2- 3- 5- 7+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
99540q |
Isogeny class |
Conductor |
99540 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
38217387600 = 24 · 37 · 52 · 7 · 792 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -6 -2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1812,-28159] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:25:1] [-20:9:1] |
Generators of the group modulo torsion |
j |
56409309184/3276525 |
j-invariant |
L |
11.521712664163 |
L(r)(E,1)/r! |
Ω |
0.73439972342156 |
Real period |
R |
2.6147687463324 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999995278 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33180c1 |
Quadratic twists by: -3 |