Atkin-Lehner |
2+ 3- 7+ 17+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
87822f |
Isogeny class |
Conductor |
87822 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
6499680499395216 = 24 · 310 · 72 · 174 · 412 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 4 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-46656,34992] |
[a1,a2,a3,a4,a6] |
j |
15407207327425537/8915885458704 |
j-invariant |
L |
1.4284017364839 |
L(r)(E,1)/r! |
Ω |
0.35710044341207 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
29274bn2 |
Quadratic twists by: -3 |