Atkin-Lehner |
2- 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
1680k |
Isogeny class |
Conductor |
1680 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
42520434281472000 = 213 · 3 · 53 · 712 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-103216,-7995584] |
[a1,a2,a3,a4,a6] |
j |
29689921233686449/10380965400750 |
j-invariant |
L |
1.09598520644 |
L(r)(E,1)/r! |
Ω |
0.27399630160999 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
210a7 6720cg7 5040bj7 8400ce7 |
Quadratic twists by: -4 8 -3 5 |