Atkin-Lehner |
2- 3- 5+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
66300ba |
Isogeny class |
Conductor |
66300 |
Conductor |
∏ cp |
66 |
Product of Tamagawa factors cp |
deg |
3231360 |
Modular degree for the optimal curve |
Δ |
-1.6349021518635E+21 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -2 13- 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-17592133,-28472906137] |
[a1,a2,a3,a4,a6] |
j |
-150528677004615417856/408725537965875 |
j-invariant |
L |
2.4322781286821 |
L(r)(E,1)/r! |
Ω |
0.036852698982108 |
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 |
13260g1 |
Quadratic twists by: 5 |