Atkin-Lehner |
2+ 3+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
87360bk |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-8.9679485435904E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -6 13+ 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3276385,-2326591775] |
[a1,a2,a3,a4,a6] |
Generators |
[2536:75285:1] |
Generators of the group modulo torsion |
j |
-14837772556740428569/342100087875000 |
j-invariant |
L |
4.7643906334996 |
L(r)(E,1)/r! |
Ω |
0.056031030519905 |
Real period |
R |
7.0859405862109 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999885001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87360gs4 2730o4 |
Quadratic twists by: -4 8 |