Atkin-Lehner |
2- 3+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
21840bi |
Isogeny class |
Conductor |
21840 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
16384 |
Modular degree for the optimal curve |
Δ |
5753180160 = 212 · 32 · 5 · 74 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -4 13+ 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-456,-720] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:42:1] |
Generators of the group modulo torsion |
j |
2565726409/1404585 |
j-invariant |
L |
3.7687721567679 |
L(r)(E,1)/r! |
Ω |
1.1035227354989 |
Real period |
R |
0.42690241391631 |
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 |
1365c1 87360hi1 65520ef1 109200ft1 |
Quadratic twists by: -4 8 -3 5 |