Atkin-Lehner |
2- 3- 7- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
120666ck |
Isogeny class |
Conductor |
120666 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
1152000 |
Modular degree for the optimal curve |
Δ |
-21681072995801856 = -1 · 28 · 3 · 76 · 132 · 175 |
Discriminant |
Eigenvalues |
2- 3- -3 7- -3 13+ 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,67018,-2359644] |
[a1,a2,a3,a4,a6] |
Generators |
[420:-10206:1] |
Generators of the group modulo torsion |
j |
196974946855373063/128290372756224 |
j-invariant |
L |
10.196701150069 |
L(r)(E,1)/r! |
Ω |
0.2182586653914 |
Real period |
R |
0.19466010580794 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999749015 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120666x1 |
Quadratic twists by: 13 |