Atkin-Lehner |
2+ 3+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
87360bh |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
3.1839301189966E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 0 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4400865,2294301537] |
[a1,a2,a3,a4,a6] |
Generators |
[2089:47040:1] |
Generators of the group modulo torsion |
j |
35958207000163259449/12145729518877500 |
j-invariant |
L |
6.1053323999302 |
L(r)(E,1)/r! |
Ω |
0.13052125890132 |
Real period |
R |
0.97451117267676 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999942904 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87360gr4 2730n4 |
Quadratic twists by: -4 8 |