Atkin-Lehner |
2- 3+ 5+ 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
86730bx |
Isogeny class |
Conductor |
86730 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
139936426560 = 26 · 32 · 5 · 77 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 4 0 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1716,19893] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:147:1] |
Generators of the group modulo torsion |
j |
4750104241/1189440 |
j-invariant |
L |
8.9104194709344 |
L(r)(E,1)/r! |
Ω |
0.96978766237876 |
Real period |
R |
0.76566756285158 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996516 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12390u1 |
Quadratic twists by: -7 |