Atkin-Lehner |
2- 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
121680et |
Isogeny class |
Conductor |
121680 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
8626176 |
Modular degree for the optimal curve |
Δ |
-2.996440128684E+22 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 6 13+ 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,7171008,3838141424] |
[a1,a2,a3,a4,a6] |
j |
16742875136/12301875 |
j-invariant |
L |
3.5987685911627 |
L(r)(E,1)/r! |
Ω |
0.07497435260656 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7605o1 40560bh1 121680dk1 |
Quadratic twists by: -4 -3 13 |