Atkin-Lehner |
3+ 7- 17+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
21063a |
Isogeny class |
Conductor |
21063 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
122818353 = 3 · 74 · 172 · 59 |
Discriminant |
Eigenvalues |
-1 3+ 2 7- -4 -6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1082,13238] |
[a1,a2,a3,a4,a6] |
j |
140097562913953/122818353 |
j-invariant |
L |
0.9238864092258 |
L(r)(E,1)/r! |
Ω |
1.8477728184516 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
63189i1 |
Quadratic twists by: -3 |