Atkin-Lehner |
2- 3+ 5+ 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
112560bp |
Isogeny class |
Conductor |
112560 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
-1225373184000 = -1 · 212 · 36 · 53 · 72 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -6 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1784,44080] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:182:1] [-4:192:1] |
Generators of the group modulo torsion |
j |
153216258551/299163375 |
j-invariant |
L |
9.4832307566631 |
L(r)(E,1)/r! |
Ω |
0.59565143668255 |
Real period |
R |
3.980193017017 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000129 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7035e1 |
Quadratic twists by: -4 |