Atkin-Lehner |
2- 3+ 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
87360dy |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
393216 |
Modular degree for the optimal curve |
Δ |
-1761177600000000 = -1 · 218 · 33 · 58 · 72 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,9599,-1989599] |
[a1,a2,a3,a4,a6] |
j |
373092501599/6718359375 |
j-invariant |
L |
0.9178404447512 |
L(r)(E,1)/r! |
Ω |
0.22946012491245 |
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 |
87360cl1 21840ch1 |
Quadratic twists by: -4 8 |