Atkin-Lehner |
2- 3- 5- 7- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
117810ev |
Isogeny class |
Conductor |
117810 |
Conductor |
∏ cp |
7776 |
Product of Tamagawa factors cp |
Δ |
1.3857814818899E+28 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11- -4 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-626067437,-2067775298539] |
[a1,a2,a3,a4,a6] |
Generators |
[-166602:11220797:8] |
Generators of the group modulo torsion |
j |
37227127845766992337787409289/19009348174072265625000000 |
j-invariant |
L |
12.613955755539 |
L(r)(E,1)/r! |
Ω |
0.031873419198799 |
Real period |
R |
1.8321831987142 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000029293 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
39270ba3 |
Quadratic twists by: -3 |