Atkin-Lehner |
2+ 3- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
52416bk |
Isogeny class |
Conductor |
52416 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-112828997578752 = -1 · 212 · 39 · 72 · 134 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 6 13+ -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12900,761056] |
[a1,a2,a3,a4,a6] |
j |
-79507000000/37786203 |
j-invariant |
L |
2.2113030574982 |
L(r)(E,1)/r! |
Ω |
0.55282576422505 |
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 |
52416ck2 26208bk1 17472t2 |
Quadratic twists by: -4 8 -3 |