Atkin-Lehner |
2+ 3+ 5+ |
Signs for the Atkin-Lehner involutions |
Class |
4800c |
Isogeny class |
Conductor |
4800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2304000000 = 214 · 32 · 56 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-433,2737] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:75:1] |
Generators of the group modulo torsion |
j |
35152/9 |
j-invariant |
L |
3.0685342177209 |
L(r)(E,1)/r! |
Ω |
1.3639002511783 |
Real period |
R |
1.1249115230641 |
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 |
4800cb2 600d2 14400x2 192c2 |
Quadratic twists by: -4 8 -3 5 |