Atkin-Lehner |
2+ 3+ 7- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
82992j |
Isogeny class |
Conductor |
82992 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1330304661504 = -1 · 211 · 32 · 7 · 134 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- -2 13- -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2912,-81120] |
[a1,a2,a3,a4,a6] |
j |
-1333880743106/649562823 |
j-invariant |
L |
2.5405982399847 |
L(r)(E,1)/r! |
Ω |
0.31757477696667 |
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 |
41496ba2 |
Quadratic twists by: -4 |