Atkin-Lehner |
2+ 3- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
7056n |
Isogeny class |
Conductor |
7056 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
-2091452831225856 = -1 · 211 · 311 · 78 |
Discriminant |
Eigenvalues |
2+ 3- 1 7+ 3 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,17493,-2012038] |
[a1,a2,a3,a4,a6] |
j |
68782/243 |
j-invariant |
L |
2.8371673030376 |
L(r)(E,1)/r! |
Ω |
0.23643060858646 |
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 |
3528s1 28224ep1 2352a1 7056t1 |
Quadratic twists by: -4 8 -3 -7 |