Atkin-Lehner |
2- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
46550cd |
Isogeny class |
Conductor |
46550 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
326592 |
Modular degree for the optimal curve |
Δ |
-335439358187500 = -1 · 22 · 56 · 710 · 19 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- -3 -4 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-91288,-10660308] |
[a1,a2,a3,a4,a6] |
Generators |
[3188317358:240522854677:551368] |
Generators of the group modulo torsion |
j |
-19061833/76 |
j-invariant |
L |
4.8070012098261 |
L(r)(E,1)/r! |
Ω |
0.13729745270177 |
Real period |
R |
17.505791678012 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999752 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1862c1 46550bu1 |
Quadratic twists by: 5 -7 |