Atkin-Lehner |
2- 3- 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
18600ba |
Isogeny class |
Conductor |
18600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
664935120000000 = 210 · 32 · 57 · 314 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -4 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-32008,-1832512] |
[a1,a2,a3,a4,a6] |
Generators |
[-112:600:1] |
Generators of the group modulo torsion |
j |
226669409284/41558445 |
j-invariant |
L |
5.2218867994465 |
L(r)(E,1)/r! |
Ω |
0.36144193819589 |
Real period |
R |
1.8059217289197 |
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 |
37200g3 55800p3 3720b3 |
Quadratic twists by: -4 -3 5 |