Atkin-Lehner |
3- 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
22785l |
Isogeny class |
Conductor |
22785 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
1.2880740230398E+19 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 2 0 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-56000264,161294814587] |
[a1,a2,a3,a4,a6] |
Generators |
[1341:297004:1] |
Generators of the group modulo torsion |
j |
165084266363666392852201/109484485464375 |
j-invariant |
L |
7.0951020461371 |
L(r)(E,1)/r! |
Ω |
0.18563190691389 |
Real period |
R |
1.5925562412044 |
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 |
68355y2 113925t2 3255b2 |
Quadratic twists by: -3 5 -7 |