Atkin-Lehner |
3- 7+ 19+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
87381b |
Isogeny class |
Conductor |
87381 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1210314231 = 38 · 7 · 192 · 73 |
Discriminant |
Eigenvalues |
-1 3- 2 7+ 4 2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-24539,1485668] |
[a1,a2,a3,a4,a6] |
Generators |
[91:-41:1] |
Generators of the group modulo torsion |
j |
2241558995648617/1660239 |
j-invariant |
L |
5.0908558031173 |
L(r)(E,1)/r! |
Ω |
1.2763253130177 |
Real period |
R |
1.994341002312 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999902523 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29127c2 |
Quadratic twists by: -3 |