Atkin-Lehner |
2+ 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
4200a |
Isogeny class |
Conductor |
4200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-11340000000000 = -1 · 211 · 34 · 510 · 7 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 0 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,5592,16812] |
[a1,a2,a3,a4,a6] |
Generators |
[33:486:1] |
Generators of the group modulo torsion |
j |
604223422/354375 |
j-invariant |
L |
3.0018566690036 |
L(r)(E,1)/r! |
Ω |
0.43495138460924 |
Real period |
R |
3.450795623631 |
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 |
8400y4 33600cb3 12600bs4 840i4 |
Quadratic twists by: -4 8 -3 5 |