Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
10080bn |
Isogeny class |
Conductor |
10080 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
2939328000 = 29 · 38 · 53 · 7 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -4 -2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-756003,253007498] |
[a1,a2,a3,a4,a6] |
Generators |
[566:2536:1] |
Generators of the group modulo torsion |
j |
128025588102048008/7875 |
j-invariant |
L |
3.7971530989103 |
L(r)(E,1)/r! |
Ω |
0.78386578295062 |
Real period |
R |
4.8441368171693 |
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 |
10080r2 20160ca4 3360f2 50400br4 |
Quadratic twists by: -4 8 -3 5 |