Atkin-Lehner |
2- 3+ 7- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
82992bw |
Isogeny class |
Conductor |
82992 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1311533862912 = 212 · 33 · 7 · 13 · 194 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- -4 13+ 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-209784,37053360] |
[a1,a2,a3,a4,a6] |
Generators |
[266:34:1] |
Generators of the group modulo torsion |
j |
249277408000169977/320198697 |
j-invariant |
L |
3.6723476517253 |
L(r)(E,1)/r! |
Ω |
0.7268680833592 |
Real period |
R |
2.5261445184965 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007705 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5187d3 |
Quadratic twists by: -4 |