Atkin-Lehner |
2+ 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
1680j |
Isogeny class |
Conductor |
1680 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3292047360 = 211 · 38 · 5 · 72 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10480,409460] |
[a1,a2,a3,a4,a6] |
j |
62161150998242/1607445 |
j-invariant |
L |
2.6239997853832 |
L(r)(E,1)/r! |
Ω |
1.3119998926916 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
840f5 6720bm5 5040m5 8400c5 |
Quadratic twists by: -4 8 -3 5 |