Atkin-Lehner |
2+ 3- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
21450bb |
Isogeny class |
Conductor |
21450 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
931707562500 = 22 · 36 · 56 · 112 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11- 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-64351,6277598] |
[a1,a2,a3,a4,a6] |
Generators |
[97:926:1] |
Generators of the group modulo torsion |
j |
1886079023633377/59629284 |
j-invariant |
L |
4.5501788775304 |
L(r)(E,1)/r! |
Ω |
0.82388133019529 |
Real period |
R |
0.46023809404402 |
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 |
64350dk2 858h2 |
Quadratic twists by: -3 5 |