Atkin-Lehner |
2- 3+ 7+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
111552cd |
Isogeny class |
Conductor |
111552 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
5574844219392 = 218 · 32 · 73 · 832 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 6 4 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-117409,15523393] |
[a1,a2,a3,a4,a6] |
j |
682797081921193/21266343 |
j-invariant |
L |
1.4190030236815 |
L(r)(E,1)/r! |
Ω |
0.70950123597122 |
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 |
111552bx2 27888bh2 |
Quadratic twists by: -4 8 |