Atkin-Lehner |
3- 7- 19- 73- |
Signs for the Atkin-Lehner involutions |
Class |
87381g |
Isogeny class |
Conductor |
87381 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-95313187046763 = -1 · 36 · 72 · 193 · 733 |
Discriminant |
Eigenvalues |
0 3- 0 7- 6 -1 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,7890,384534] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:486:1] |
Generators of the group modulo torsion |
j |
74512166912000/130745112547 |
j-invariant |
L |
6.2320646560625 |
L(r)(E,1)/r! |
Ω |
0.41189894447369 |
Real period |
R |
3.7825204076523 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004194 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
9709c2 |
Quadratic twists by: -3 |