Atkin-Lehner |
2- 3+ 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
21996d |
Isogeny class |
Conductor |
21996 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4224 |
Modular degree for the optimal curve |
Δ |
-4223232 = -1 · 28 · 33 · 13 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 2 -3 -3 13- -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-159,-778] |
[a1,a2,a3,a4,a6] |
j |
-64314864/611 |
j-invariant |
L |
1.3437058178597 |
L(r)(E,1)/r! |
Ω |
0.67185290892986 |
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 |
87984q1 21996b1 |
Quadratic twists by: -4 -3 |