Atkin-Lehner |
2+ 17- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
8024g |
Isogeny class |
Conductor |
8024 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
75264 |
Modular degree for the optimal curve |
Δ |
-1458295368704 = -1 · 210 · 176 · 59 |
Discriminant |
Eigenvalues |
2+ 3 -1 3 2 0 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-363403,-84320074] |
[a1,a2,a3,a4,a6] |
j |
-5183096326183997316/1424116571 |
j-invariant |
L |
4.6667406086649 |
L(r)(E,1)/r! |
Ω |
0.097223762680519 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16048o1 64192bg1 72216o1 |
Quadratic twists by: -4 8 -3 |