Atkin-Lehner |
2- 3+ 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
20160dd |
Isogeny class |
Conductor |
20160 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-31603654656000000 = -1 · 221 · 39 · 56 · 72 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 0 -2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,42228,7874064] |
[a1,a2,a3,a4,a6] |
Generators |
[-62:2240:1] |
Generators of the group modulo torsion |
j |
1613964717/6125000 |
j-invariant |
L |
5.2282499698463 |
L(r)(E,1)/r! |
Ω |
0.26355488137998 |
Real period |
R |
0.82655933975863 |
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 |
20160t4 5040u4 20160cr2 100800jo4 |
Quadratic twists by: -4 8 -3 5 |