Atkin-Lehner |
2+ 3+ 5+ |
Signs for the Atkin-Lehner involutions |
Class |
600a |
Isogeny class |
Conductor |
600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-524880000000 = -1 · 210 · 38 · 57 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -4 -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1992,6012] |
[a1,a2,a3,a4,a6] |
Generators |
[2:100:1] |
Generators of the group modulo torsion |
j |
54607676/32805 |
j-invariant |
L |
1.8182269342928 |
L(r)(E,1)/r! |
Ω |
0.56773510051461 |
Real period |
R |
0.80064934009046 |
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 |
1200e4 4800r4 1800r4 120a4 |
Quadratic twists by: -4 8 -3 5 |