Atkin-Lehner |
2+ 3+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
87360m |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-2.3567135137169E+25 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-158786241,-804722188095] |
[a1,a2,a3,a4,a6] |
j |
-1688971789881664420008241/89901485966373558750 |
j-invariant |
L |
2.0351435821416 |
L(r)(E,1)/r! |
Ω |
0.021199412740163 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87360fu7 2730bd8 |
Quadratic twists by: -4 8 |