Atkin-Lehner |
2- 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
4560w |
Isogeny class |
Conductor |
4560 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
8871936000000 = 219 · 3 · 56 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -4 -6 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-31976,2185524] |
[a1,a2,a3,a4,a6] |
Generators |
[270:3648:1] |
Generators of the group modulo torsion |
j |
882774443450089/2166000000 |
j-invariant |
L |
4.2053285253804 |
L(r)(E,1)/r! |
Ω |
0.73402092773756 |
Real period |
R |
1.432291766647 |
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 |
570b2 18240cg2 13680bj2 22800bu2 |
Quadratic twists by: -4 8 -3 5 |