Atkin-Lehner |
2- 3+ 7- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
20748i |
Isogeny class |
Conductor |
20748 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
176606976 = 28 · 3 · 72 · 13 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 4 13- -8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-252,-1320] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:10:1] |
Generators of the group modulo torsion |
j |
6940769488/689871 |
j-invariant |
L |
5.4373247149552 |
L(r)(E,1)/r! |
Ω |
1.2055249777574 |
Real period |
R |
1.5034458887972 |
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 |
82992cj2 62244bi2 |
Quadratic twists by: -4 -3 |