Atkin-Lehner |
2- 3+ 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
10080bi |
Isogeny class |
Conductor |
10080 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
19752284160 = 212 · 39 · 5 · 72 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 0 -4 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-972,-9504] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:44:1] |
Generators of the group modulo torsion |
j |
1259712/245 |
j-invariant |
L |
4.4806587518882 |
L(r)(E,1)/r! |
Ω |
0.86661042871967 |
Real period |
R |
2.5851631848626 |
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 |
10080f2 20160a1 10080b2 50400h2 |
Quadratic twists by: -4 8 -3 5 |