Atkin-Lehner |
3- 5+ 17+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
46665c |
Isogeny class |
Conductor |
46665 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
64257705 = 36 · 5 · 172 · 61 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 0 6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-16530,-813889] |
[a1,a2,a3,a4,a6] |
Generators |
[256015578:16682077595:59319] |
Generators of the group modulo torsion |
j |
685219199317281/88145 |
j-invariant |
L |
6.6164025907366 |
L(r)(E,1)/r! |
Ω |
0.42104654994132 |
Real period |
R |
15.71418312693 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999946 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5185a1 |
Quadratic twists by: -3 |