Atkin-Lehner |
2- 3- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
87360fu |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
1.1536598095626E+21 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2649921,292761279] |
[a1,a2,a3,a4,a6] |
Generators |
[-1590:22113:1] |
Generators of the group modulo torsion |
j |
7850236389974007121/4400862921000000 |
j-invariant |
L |
7.402919702475 |
L(r)(E,1)/r! |
Ω |
0.13332988499822 |
Real period |
R |
2.3134722374938 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007505 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
87360m2 21840bk2 |
Quadratic twists by: -4 8 |