Atkin-Lehner |
2- 3+ 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
87984u |
Isogeny class |
Conductor |
87984 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
4829915022090043392 = 224 · 33 · 136 · 472 |
Discriminant |
Eigenvalues |
2- 3+ 0 -2 0 13- 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1151835,-463912438] |
[a1,a2,a3,a4,a6] |
j |
1528166985605107875/43673276747776 |
j-invariant |
L |
1.7518291942431 |
L(r)(E,1)/r! |
Ω |
0.14598577374583 |
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 |
10998k2 87984o4 |
Quadratic twists by: -4 -3 |