Atkin-Lehner |
2+ 3- 7- |
Signs for the Atkin-Lehner involutions |
Class |
7056x |
Isogeny class |
Conductor |
7056 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
-153692888832 = -1 · 28 · 36 · 77 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- -4 -2 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,441,-18522] |
[a1,a2,a3,a4,a6] |
Generators |
[246:3870:1] |
Generators of the group modulo torsion |
j |
432/7 |
j-invariant |
L |
4.4809608792216 |
L(r)(E,1)/r! |
Ω |
0.50107441978659 |
Real period |
R |
4.4713526596808 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3528k1 28224gd1 784c1 1008h1 |
Quadratic twists by: -4 8 -3 -7 |