Atkin-Lehner |
2- 3+ 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
4560r |
Isogeny class |
Conductor |
4560 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
4990464000000 = 215 · 33 · 56 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 0 2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-17640,-889488] |
[a1,a2,a3,a4,a6] |
Generators |
[-76:80:1] |
Generators of the group modulo torsion |
j |
148212258825961/1218375000 |
j-invariant |
L |
3.232831047398 |
L(r)(E,1)/r! |
Ω |
0.41446531088181 |
Real period |
R |
0.65000032622753 |
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 |
570f2 18240cn2 13680bc2 22800cu2 |
Quadratic twists by: -4 8 -3 5 |