Atkin-Lehner |
2+ 7+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
4984a |
Isogeny class |
Conductor |
4984 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1664 |
Modular degree for the optimal curve |
Δ |
-4465664 = -1 · 210 · 72 · 89 |
Discriminant |
Eigenvalues |
2+ 3 3 7+ 4 0 -3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,29,-82] |
[a1,a2,a3,a4,a6] |
j |
2634012/4361 |
j-invariant |
L |
5.162426090777 |
L(r)(E,1)/r! |
Ω |
1.2906065226942 |
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 |
9968d1 39872m1 44856e1 124600t1 |
Quadratic twists by: -4 8 -3 5 |