Atkin-Lehner |
2+ 3- 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
27840ca |
Isogeny class |
Conductor |
27840 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
132277862400 = 221 · 3 · 52 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 2 0 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8385,-297825] |
[a1,a2,a3,a4,a6] |
Generators |
[-18298:7785:343] |
Generators of the group modulo torsion |
j |
248739515569/504600 |
j-invariant |
L |
7.0535526780607 |
L(r)(E,1)/r! |
Ω |
0.49896766336271 |
Real period |
R |
7.0681460903943 |
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 |
27840cy2 870e2 83520bq2 |
Quadratic twists by: -4 8 -3 |