Atkin-Lehner |
2- 5+ 41- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
108650l |
Isogeny class |
Conductor |
108650 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
964224 |
Modular degree for the optimal curve |
Δ |
-1198122664000000 = -1 · 29 · 56 · 414 · 53 |
Discriminant |
Eigenvalues |
2- 2 5+ 2 -3 4 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-297238,62272531] |
[a1,a2,a3,a4,a6] |
Generators |
[361:1295:1] |
Generators of the group modulo torsion |
j |
-185873196971998873/76679850496 |
j-invariant |
L |
17.222377622263 |
L(r)(E,1)/r! |
Ω |
0.47839530576384 |
Real period |
R |
1.000008511547 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001564 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4346a1 |
Quadratic twists by: 5 |