Atkin-Lehner |
2- 3- 7+ 13+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
32214x |
Isogeny class |
Conductor |
32214 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
19968 |
Modular degree for the optimal curve |
Δ |
-28863744 = -1 · 28 · 3 · 72 · 13 · 59 |
Discriminant |
Eigenvalues |
2- 3- 3 7+ 3 13+ 8 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-594,-5628] |
[a1,a2,a3,a4,a6] |
j |
-23180817201697/28863744 |
j-invariant |
L |
7.7358261684223 |
L(r)(E,1)/r! |
Ω |
0.48348913552631 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96642n1 |
Quadratic twists by: -3 |