Atkin-Lehner |
2+ 3+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
7056i |
Isogeny class |
Conductor |
7056 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
4149707998464 = 28 · 39 · 77 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- -2 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-48951,-4167450] |
[a1,a2,a3,a4,a6] |
j |
21882096/7 |
j-invariant |
L |
0.64194451983688 |
L(r)(E,1)/r! |
Ω |
0.32097225991844 |
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 |
3528q2 28224dt2 7056g2 1008c2 |
Quadratic twists by: -4 8 -3 -7 |