Atkin-Lehner |
2- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
53312cd |
Isogeny class |
Conductor |
53312 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-504862081024 = -1 · 221 · 72 · 173 |
Discriminant |
Eigenvalues |
2- 2 3 7- 0 2 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1951,-8959] |
[a1,a2,a3,a4,a6] |
j |
63905303/39304 |
j-invariant |
L |
6.4508304865922 |
L(r)(E,1)/r! |
Ω |
0.53756920730209 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53312bc2 13328x2 53312bk2 |
Quadratic twists by: -4 8 -7 |