Atkin-Lehner |
2+ 3+ 5+ |
Signs for the Atkin-Lehner involutions |
Class |
4800a |
Isogeny class |
Conductor |
4800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
7680000000 = 215 · 3 · 57 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 0 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16033,-776063] |
[a1,a2,a3,a4,a6] |
Generators |
[152:525:1] |
Generators of the group modulo torsion |
j |
890277128/15 |
j-invariant |
L |
3.2292583705214 |
L(r)(E,1)/r! |
Ω |
0.42427167471641 |
Real period |
R |
3.8056492607948 |
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 |
4800q4 2400ba2 14400v4 960f3 |
Quadratic twists by: -4 8 -3 5 |