Atkin-Lehner |
2+ 13- 101- |
Signs for the Atkin-Lehner involutions |
Class |
84032p |
Isogeny class |
Conductor |
84032 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
45056 |
Modular degree for the optimal curve |
Δ |
-344195072 = -1 · 218 · 13 · 101 |
Discriminant |
Eigenvalues |
2+ 3 2 2 -4 13- 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,116,752] |
[a1,a2,a3,a4,a6] |
Generators |
[282:1504:27] |
Generators of the group modulo torsion |
j |
658503/1313 |
j-invariant |
L |
14.786740950585 |
L(r)(E,1)/r! |
Ω |
1.1788132044333 |
Real period |
R |
3.135938097836 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990039 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84032z1 1313a1 |
Quadratic twists by: -4 8 |