Atkin-Lehner |
2- 3- 7- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
82992ct |
Isogeny class |
Conductor |
82992 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1366380288 = 28 · 32 · 74 · 13 · 19 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -4 13- 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1268,16872] |
[a1,a2,a3,a4,a6] |
j |
881422162000/5337423 |
j-invariant |
L |
3.0594521941598 |
L(r)(E,1)/r! |
Ω |
1.52972615541 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20748c2 |
Quadratic twists by: -4 |