Atkin-Lehner |
2- 3+ 5+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
21360g |
Isogeny class |
Conductor |
21360 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1064339066880 = -1 · 212 · 38 · 5 · 892 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 0 4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1976,60720] |
[a1,a2,a3,a4,a6] |
Generators |
[26:162:1] [66:462:1] |
Generators of the group modulo torsion |
j |
-208422380089/259848405 |
j-invariant |
L |
5.8264617860189 |
L(r)(E,1)/r! |
Ω |
0.7897622916273 |
Real period |
R |
3.6887439725777 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1335a2 85440bs2 64080bk2 106800bv2 |
Quadratic twists by: -4 8 -3 5 |