Atkin-Lehner |
2+ 3+ 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
87360c |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-101117894492160 = -1 · 215 · 32 · 5 · 74 · 134 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 4 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9121,-585599] |
[a1,a2,a3,a4,a6] |
Generators |
[15888:379405:27] |
Generators of the group modulo torsion |
j |
-2561231050568/3085873245 |
j-invariant |
L |
5.7063784363511 |
L(r)(E,1)/r! |
Ω |
0.23351407940908 |
Real period |
R |
6.1092445133632 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000466 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87360cm3 43680cg2 |
Quadratic twists by: -4 8 |