Atkin-Lehner |
2+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
2366d |
Isogeny class |
Conductor |
2366 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
Δ |
-2238365098424 = -1 · 23 · 73 · 138 |
Discriminant |
Eigenvalues |
2+ 1 3 7- 0 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-10482,-420132] |
[a1,a2,a3,a4,a6] |
j |
-156116857/2744 |
j-invariant |
L |
2.1210602277257 |
L(r)(E,1)/r! |
Ω |
0.23567335863619 |
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 |
18928m2 75712bd2 21294cr2 59150bi2 |
Quadratic twists by: -4 8 -3 5 |