Atkin-Lehner |
2- 3- 7- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
120666ch |
Isogeny class |
Conductor |
120666 |
Conductor |
∏ cp |
3360 |
Product of Tamagawa factors cp |
deg |
18063360 |
Modular degree for the optimal curve |
Δ |
1.4264091802672E+22 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -4 13+ 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-33353928,-73922507712] |
[a1,a2,a3,a4,a6] |
Generators |
[-3288:15840:1] |
Generators of the group modulo torsion |
j |
850167619482740847625/2955180493504512 |
j-invariant |
L |
12.661122239454 |
L(r)(E,1)/r! |
Ω |
0.062835284275216 |
Real period |
R |
0.2398773976325 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000065907 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9282h1 |
Quadratic twists by: 13 |