Atkin-Lehner |
2- 3- 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
27840dg |
Isogeny class |
Conductor |
27840 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
22419729285120 = 234 · 32 · 5 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7201,56159] |
[a1,a2,a3,a4,a6] |
Generators |
[-374:4329:8] |
Generators of the group modulo torsion |
j |
157551496201/85524480 |
j-invariant |
L |
6.5418660604696 |
L(r)(E,1)/r! |
Ω |
0.59092648730578 |
Real period |
R |
5.5352621696618 |
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 |
27840b1 6960bc1 83520gd1 |
Quadratic twists by: -4 8 -3 |