Atkin-Lehner |
2- 3+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
66924a |
Isogeny class |
Conductor |
66924 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
5301504 |
Modular degree for the optimal curve |
Δ |
-6.0179533503515E+19 |
Discriminant |
Eigenvalues |
2- 3+ 0 1 11+ 13+ 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-256258080,1578935820852] |
[a1,a2,a3,a4,a6] |
j |
-452770725888000/14641 |
j-invariant |
L |
1.740746178283 |
L(r)(E,1)/r! |
Ω |
0.14506218191006 |
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 |
66924d1 66924e1 |
Quadratic twists by: -3 13 |