Atkin-Lehner |
2- 3+ 5- 89- |
Signs for the Atkin-Lehner involutions |
Class |
21360j |
Isogeny class |
Conductor |
21360 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
65699942400 = 212 · 34 · 52 · 892 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -4 -6 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2400,44352] |
[a1,a2,a3,a4,a6] |
Generators |
[-48:216:1] [-16:280:1] |
Generators of the group modulo torsion |
j |
373403541601/16040025 |
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 |
4 |
Number of elements in the torsion subgroup |
Twists |
1335b2 85440bk2 64080q2 106800bx2 |
Quadratic twists by: -4 8 -3 5 |