Atkin-Lehner |
11- 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
64493j |
Isogeny class |
Conductor |
64493 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
1900800 |
Modular degree for the optimal curve |
Δ |
1.6188675827389E+19 |
Discriminant |
Eigenvalues |
1 -1 4 4 11- 13- -5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-637188,-29468105] |
[a1,a2,a3,a4,a6] |
Generators |
[-11730:684907:125] |
Generators of the group modulo torsion |
j |
1103063947249/624143533 |
j-invariant |
L |
9.0861766133359 |
L(r)(E,1)/r! |
Ω |
0.18222022592169 |
Real period |
R |
4.9863710614417 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998715 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64493h1 |
Quadratic twists by: -11 |