Atkin-Lehner |
2+ 3+ 5- 101- |
Signs for the Atkin-Lehner involutions |
Class |
60600j |
Isogeny class |
Conductor |
60600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
183618000000000 = 210 · 32 · 59 · 1012 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 -4 -4 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-28208,1712412] |
[a1,a2,a3,a4,a6] |
Generators |
[218:2424:1] |
Generators of the group modulo torsion |
j |
1241154932/91809 |
j-invariant |
L |
3.4030375542752 |
L(r)(E,1)/r! |
Ω |
0.5568861329303 |
Real period |
R |
1.5277079787692 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000297 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121200bo2 60600bp2 |
Quadratic twists by: -4 5 |