Atkin-Lehner |
2+ 3- 5- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
21360d |
Isogeny class |
Conductor |
21360 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
6569994240 = 211 · 34 · 5 · 892 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 0 -2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-480,-1260] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:54:1] |
Generators of the group modulo torsion |
j |
5984418242/3208005 |
j-invariant |
L |
6.210919407758 |
L(r)(E,1)/r! |
Ω |
1.0849220284799 |
Real period |
R |
1.4311902709866 |
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 |
10680d2 85440z2 64080g2 106800a2 |
Quadratic twists by: -4 8 -3 5 |