Atkin-Lehner |
2- 3- 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
109200gr |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
176 |
Product of Tamagawa factors cp |
deg |
12165120 |
Modular degree for the optimal curve |
Δ |
1.1605268322386E+24 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 2 13+ 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-44457208,101626469588] |
[a1,a2,a3,a4,a6] |
j |
1214675547724509317/145065854029824 |
j-invariant |
L |
3.6874210731585 |
L(r)(E,1)/r! |
Ω |
0.083805020150592 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13650s1 109200fb1 |
Quadratic twists by: -4 5 |