Atkin-Lehner |
2+ 3- 7- |
Signs for the Atkin-Lehner involutions |
Class |
7056s |
Isogeny class |
Conductor |
7056 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
672 |
Modular degree for the optimal curve |
Δ |
571536 = 24 · 36 · 72 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- -1 -2 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-63,189] |
[a1,a2,a3,a4,a6] |
Generators |
[4:1:1] |
Generators of the group modulo torsion |
j |
48384 |
j-invariant |
L |
3.8316957933073 |
L(r)(E,1)/r! |
Ω |
2.9087076555551 |
Real period |
R |
1.3173189770342 |
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 |
3528j1 28224fj1 784f1 7056m1 |
Quadratic twists by: -4 8 -3 -7 |