Atkin-Lehner |
2- 3+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
87360eq |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-89812343932846080 = -1 · 220 · 3 · 5 · 7 · 138 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -4 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,105279,-5953695] |
[a1,a2,a3,a4,a6] |
Generators |
[839:25928:1] |
Generators of the group modulo torsion |
j |
492271755328079/342606902820 |
j-invariant |
L |
4.7814751258834 |
L(r)(E,1)/r! |
Ω |
0.19179223521985 |
Real period |
R |
6.2326234438956 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999996067 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87360bw3 21840ck3 |
Quadratic twists by: -4 8 |