Atkin-Lehner |
2- 3+ 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
87360dy |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
48464789667840000 = 218 · 36 · 54 · 74 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-190401,-30109599] |
[a1,a2,a3,a4,a6] |
j |
2912015927948401/184878500625 |
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 |
4 |
Number of elements in the torsion subgroup |
Twists |
87360cl2 21840ch2 |
Quadratic twists by: -4 8 |