Atkin-Lehner |
2- 3- 5+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
28200x |
Isogeny class |
Conductor |
28200 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-10540110960000000 = -1 · 210 · 33 · 57 · 474 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,53592,-1245312] |
[a1,a2,a3,a4,a6] |
Generators |
[48:1200:1] |
Generators of the group modulo torsion |
j |
1063887043964/658756935 |
j-invariant |
L |
6.0080056221432 |
L(r)(E,1)/r! |
Ω |
0.2342710340506 |
Real period |
R |
2.1371277811087 |
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 |
56400c3 84600l3 5640a4 |
Quadratic twists by: -4 -3 5 |