Atkin-Lehner |
2- 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84966dz |
Isogeny class |
Conductor |
84966 |
Conductor |
∏ cp |
364 |
Product of Tamagawa factors cp |
deg |
465920 |
Modular degree for the optimal curve |
Δ |
-30191146868736 = -1 · 213 · 37 · 73 · 173 |
Discriminant |
Eigenvalues |
2- 3- -3 7- -3 -7 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-27427,1765889] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:-1423:1] [-146:1705:1] |
Generators of the group modulo torsion |
j |
-1354000227047/17915904 |
j-invariant |
L |
15.552697967784 |
L(r)(E,1)/r! |
Ω |
0.66328731155701 |
Real period |
R |
0.064417321837758 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999338 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84966df1 84966de1 |
Quadratic twists by: -7 17 |