Atkin-Lehner |
2- 3+ 7+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
82992bl |
Isogeny class |
Conductor |
82992 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-7144113870286848 = -1 · 212 · 35 · 76 · 132 · 192 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ -2 13+ 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7504,4076800] |
[a1,a2,a3,a4,a6] |
Generators |
[72:-1976:1] |
Generators of the group modulo torsion |
j |
-11410380159697/1744168425363 |
j-invariant |
L |
3.8686011420432 |
L(r)(E,1)/r! |
Ω |
0.34299071011804 |
Real period |
R |
1.4098782519879 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999984717 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5187i2 |
Quadratic twists by: -4 |