Atkin-Lehner |
3- 7+ 17+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
21063b |
Isogeny class |
Conductor |
21063 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
822507625297806777 = 34 · 72 · 173 · 596 |
Discriminant |
Eigenvalues |
-1 3- -2 7+ -2 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-337784,61662615] |
[a1,a2,a3,a4,a6] |
j |
4262270568826096907137/822507625297806777 |
j-invariant |
L |
1.0716268017538 |
L(r)(E,1)/r! |
Ω |
0.26790670043844 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63189g1 |
Quadratic twists by: -3 |