Atkin-Lehner |
2- 3- 5- 7- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
117810et |
Isogeny class |
Conductor |
117810 |
Conductor |
∏ cp |
20480 |
Product of Tamagawa factors cp |
Δ |
1.2333590256048E+25 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11- 2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-130942607,551451802839] |
[a1,a2,a3,a4,a6] |
Generators |
[4877:-172224:1] |
Generators of the group modulo torsion |
j |
340595676265053452580100009/16918505152329026400000 |
j-invariant |
L |
13.373830514967 |
L(r)(E,1)/r! |
Ω |
0.070337267731602 |
Real period |
R |
0.14854579087229 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000002568 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
39270f3 |
Quadratic twists by: -3 |