Atkin-Lehner |
2+ 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
87360cg |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
-1972068050534400 = -1 · 221 · 310 · 52 · 72 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -2 13+ 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,24159,-1565505] |
[a1,a2,a3,a4,a6] |
Generators |
[99:1344:1] |
Generators of the group modulo torsion |
j |
5948434379159/7522842600 |
j-invariant |
L |
8.1552554910766 |
L(r)(E,1)/r! |
Ω |
0.24961304452958 |
Real period |
R |
0.81678979406664 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001925 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87360dx2 2730j2 |
Quadratic twists by: -4 8 |