Atkin-Lehner |
2- 3- 7- |
Signs for the Atkin-Lehner involutions |
Class |
7056by |
Isogeny class |
Conductor |
7056 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-5665734653902848 = -1 · 220 · 38 · 77 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -4 -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-28371,-4061806] |
[a1,a2,a3,a4,a6] |
j |
-7189057/16128 |
j-invariant |
L |
0.68825345228957 |
L(r)(E,1)/r! |
Ω |
0.17206336307239 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
882e1 28224ft1 2352o1 1008l1 |
Quadratic twists by: -4 8 -3 -7 |