Atkin-Lehner |
2- 3+ 7- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
120666br |
Isogeny class |
Conductor |
120666 |
Conductor |
∏ cp |
264 |
Product of Tamagawa factors cp |
deg |
16473600 |
Modular degree for the optimal curve |
Δ |
1.456324767921E+21 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- -4 13- 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-148256833,-694875957313] |
[a1,a2,a3,a4,a6] |
j |
164035486650226188072026125/662869716850704384 |
j-invariant |
L |
2.855551684058 |
L(r)(E,1)/r! |
Ω |
0.0432659237233 |
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 |
120666g1 |
Quadratic twists by: 13 |