Atkin-Lehner |
2- 3- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
87360he |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
2240 |
Product of Tamagawa factors cp |
Δ |
-1.1354327899151E+28 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 6 13+ 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-829733185,-10531690782625] |
[a1,a2,a3,a4,a6] |
Generators |
[35243:2000376:1] |
Generators of the group modulo torsion |
j |
-1927920660882763456588258952/346506588719216837177175 |
j-invariant |
L |
10.583907166945 |
L(r)(E,1)/r! |
Ω |
0.013928630871992 |
Real period |
R |
1.356905384266 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000544 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87360fb2 43680bj2 |
Quadratic twists by: -4 8 |