Atkin-Lehner |
2- 3+ 5- 89- |
Signs for the Atkin-Lehner involutions |
Class |
21360j |
Isogeny class |
Conductor |
21360 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
11958865920 = 212 · 38 · 5 · 89 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -4 -6 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-38000,2863872] |
[a1,a2,a3,a4,a6] |
Generators |
[32:1296:1] [88:440:1] |
Generators of the group modulo torsion |
j |
1481582988342001/2919645 |
j-invariant |
L |
6.6508853367815 |
L(r)(E,1)/r! |
Ω |
1.0908802304613 |
Real period |
R |
3.0484030927802 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1335b3 85440bk4 64080q4 106800bx4 |
Quadratic twists by: -4 8 -3 5 |