Atkin-Lehner |
2+ 3- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
60648o |
Isogeny class |
Conductor |
60648 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
3.1659987117213E+19 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ -4 6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1166872,402216560] |
[a1,a2,a3,a4,a6] |
Generators |
[88676044505273293505783006404:-1929098235602344229984189779605:75516167628896962444061248] |
Generators of the group modulo torsion |
j |
1823652903746/328593657 |
j-invariant |
L |
8.7147167468281 |
L(r)(E,1)/r! |
Ω |
0.19821209835289 |
Real period |
R |
43.966623729915 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998044 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121296r4 3192j3 |
Quadratic twists by: -4 -19 |