Atkin-Lehner |
2+ 3+ 7+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
120666g |
Isogeny class |
Conductor |
120666 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
214156800 |
Modular degree for the optimal curve |
Δ |
7.029401496724E+27 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ 4 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-25055404780,-1526517201192368] |
[a1,a2,a3,a4,a6] |
j |
164035486650226188072026125/662869716850704384 |
j-invariant |
L |
0.59999166486638 |
L(r)(E,1)/r! |
Ω |
0.01199980818959 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
120666br1 |
Quadratic twists by: 13 |