Atkin-Lehner |
2- 3+ 7- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
82992bw |
Isogeny class |
Conductor |
82992 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
8926422994944 = 212 · 36 · 72 · 132 · 192 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- -4 13+ 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13224,571824] |
[a1,a2,a3,a4,a6] |
Generators |
[-76:1064:1] |
Generators of the group modulo torsion |
j |
62443196514217/2179302489 |
j-invariant |
L |
3.6723476517253 |
L(r)(E,1)/r! |
Ω |
0.7268680833592 |
Real period |
R |
1.2630722592482 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007705 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
5187d2 |
Quadratic twists by: -4 |