Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
20160x |
Isogeny class |
Conductor |
20160 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
Δ |
270050760000000000 = 212 · 39 · 510 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -4 0 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-161892,-1865376] |
[a1,a2,a3,a4,a6] |
Generators |
[-267:4725:1] |
Generators of the group modulo torsion |
j |
5820343774272/3349609375 |
j-invariant |
L |
5.5036382220032 |
L(r)(E,1)/r! |
Ω |
0.25896620450645 |
Real period |
R |
0.70841138421803 |
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 |
20160p2 10080bf1 20160l2 100800m2 |
Quadratic twists by: -4 8 -3 5 |