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 |
8100000000 = 28 · 34 · 58 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -4 -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-508,1012] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:72:1] |
Generators of the group modulo torsion |
j |
3631696/2025 |
j-invariant |
L |
1.8182269342928 |
L(r)(E,1)/r! |
Ω |
1.1354702010292 |
Real period |
R |
1.6012986801809 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
1200e2 4800r2 1800r2 120a2 |
Quadratic twists by: -4 8 -3 5 |