Atkin-Lehner |
2- 3- 5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
21450cg |
Isogeny class |
Conductor |
21450 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
582317226562500 = 22 · 36 · 510 · 112 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 11+ 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-59963,-5536083] |
[a1,a2,a3,a4,a6] |
Generators |
[-134:379:1] |
Generators of the group modulo torsion |
j |
1525998818291689/37268302500 |
j-invariant |
L |
8.1770844171411 |
L(r)(E,1)/r! |
Ω |
0.30554496991421 |
Real period |
R |
2.2301911945065 |
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 |
64350bo2 4290a2 |
Quadratic twists by: -3 5 |