Atkin-Lehner |
2- 3- 5- 7+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
117810eb |
Isogeny class |
Conductor |
117810 |
Conductor |
∏ cp |
3200 |
Product of Tamagawa factors cp |
deg |
12288000 |
Modular degree for the optimal curve |
Δ |
5.1755414489024E+22 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11- -4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-10920452,8554567079] |
[a1,a2,a3,a4,a6] |
Generators |
[-2163:149581:1] |
Generators of the group modulo torsion |
j |
197568630481918436423929/70995081603600000000 |
j-invariant |
L |
10.716342231749 |
L(r)(E,1)/r! |
Ω |
0.10298868534924 |
Real period |
R |
0.13006698496104 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000903 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39270z1 |
Quadratic twists by: -3 |