Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
5040bc |
Isogeny class |
Conductor |
5040 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
257746484991098880 = 236 · 37 · 5 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-212043,-28562182] |
[a1,a2,a3,a4,a6] |
Generators |
[-209:2574:1] |
Generators of the group modulo torsion |
j |
353108405631241/86318776320 |
j-invariant |
L |
3.5435573885183 |
L(r)(E,1)/r! |
Ω |
0.22644891429684 |
Real period |
R |
3.9120935946211 |
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 |
630i3 20160en3 1680m3 25200eg3 |
Quadratic twists by: -4 8 -3 5 |