Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
10080bm |
Isogeny class |
Conductor |
10080 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
85710804480 = 29 · 314 · 5 · 7 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 4 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3603,82042] |
[a1,a2,a3,a4,a6] |
Generators |
[54:212:1] |
Generators of the group modulo torsion |
j |
13858588808/229635 |
j-invariant |
L |
4.1725567794684 |
L(r)(E,1)/r! |
Ω |
1.0794525975363 |
Real period |
R |
3.8654377125886 |
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 |
10080u2 20160cc4 3360m2 50400bm3 |
Quadratic twists by: -4 8 -3 5 |