Atkin-Lehner |
2- 3- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
7056bk |
Isogeny class |
Conductor |
7056 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-4818707323144372224 = -1 · 219 · 313 · 78 |
Discriminant |
Eigenvalues |
2- 3- -1 7+ 5 0 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-995043,-396371486] |
[a1,a2,a3,a4,a6] |
Generators |
[4655:309582:1] |
Generators of the group modulo torsion |
j |
-6329617441/279936 |
j-invariant |
L |
4.0784559887263 |
L(r)(E,1)/r! |
Ω |
0.075385467085303 |
Real period |
R |
2.2542231648527 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
882c2 28224en2 2352r2 7056bs2 |
Quadratic twists by: -4 8 -3 -7 |