Atkin-Lehner |
2- 3+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
87360fm |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
Δ |
-2404007424000000 = -1 · 215 · 34 · 56 · 73 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -6 13+ -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4865,2364225] |
[a1,a2,a3,a4,a6] |
Generators |
[-109:1260:1] [-95:1400:1] |
Generators of the group modulo torsion |
j |
-388697347592/73364484375 |
j-invariant |
L |
9.8555565505667 |
L(r)(E,1)/r! |
Ω |
0.37483477006723 |
Real period |
R |
0.36518151677338 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997391 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87360gt2 43680bz2 |
Quadratic twists by: -4 8 |