Atkin-Lehner |
2- 17+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
8024k |
Isogeny class |
Conductor |
8024 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
-17565142486016 = -1 · 210 · 174 · 593 |
Discriminant |
Eigenvalues |
2- -1 -3 3 2 6 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,6488,-16516] |
[a1,a2,a3,a4,a6] |
j |
29490989143388/17153459459 |
j-invariant |
L |
1.6365915269572 |
L(r)(E,1)/r! |
Ω |
0.4091478817393 |
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 |
16048f1 64192k1 72216g1 |
Quadratic twists by: -4 8 -3 |