Atkin-Lehner |
2+ 3- 7+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
82992n |
Isogeny class |
Conductor |
82992 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-234905868288 = -1 · 211 · 36 · 72 · 132 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 4 13+ -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8,23316] |
[a1,a2,a3,a4,a6] |
Generators |
[10:-156:1] |
Generators of the group modulo torsion |
j |
-31250/114700131 |
j-invariant |
L |
8.0663352013257 |
L(r)(E,1)/r! |
Ω |
0.7878238011628 |
Real period |
R |
0.42661480848755 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41496g2 |
Quadratic twists by: -4 |