Atkin-Lehner |
2- 3+ 5+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
21360h |
Isogeny class |
Conductor |
21360 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-4106246400 = -1 · 28 · 34 · 52 · 892 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 0 -2 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,284,2380] |
[a1,a2,a3,a4,a6] |
Generators |
[13:90:1] |
Generators of the group modulo torsion |
j |
9860720816/16040025 |
j-invariant |
L |
2.7585068494188 |
L(r)(E,1)/r! |
Ω |
0.94762398162543 |
Real period |
R |
1.455485985426 |
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 |
5340c2 85440bt2 64080be2 106800ca2 |
Quadratic twists by: -4 8 -3 5 |