Atkin-Lehner |
2- 3+ 31+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
63984p |
Isogeny class |
Conductor |
63984 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-859748401152 = -1 · 215 · 39 · 31 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 0 -2 6 -1 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1952,-30464] |
[a1,a2,a3,a4,a6] |
j |
200715401375/209899512 |
j-invariant |
L |
1.9282994310303 |
L(r)(E,1)/r! |
Ω |
0.48207485897718 |
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 |
7998i1 |
Quadratic twists by: -4 |