Atkin-Lehner |
2+ 3- 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
87360cx |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
1600 |
Product of Tamagawa factors cp |
Δ |
1.353947970945E+25 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -4 13+ -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-631012065,6098270939775] |
[a1,a2,a3,a4,a6] |
Generators |
[570:2395575:1] |
Generators of the group modulo torsion |
j |
105997782562506306791694649/51649016225625000000 |
j-invariant |
L |
8.1482116776283 |
L(r)(E,1)/r! |
Ω |
0.069680452835088 |
Real period |
R |
1.1693683579424 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007834 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
87360fl2 2730c2 |
Quadratic twists by: -4 8 |