Atkin-Lehner |
2- 3- 5+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
32850bo |
Isogeny class |
Conductor |
32850 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
65536 |
Modular degree for the optimal curve |
Δ |
1915812000000 = 28 · 38 · 56 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 0 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4280,-83653] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:121:1] |
Generators of the group modulo torsion |
j |
761048497/168192 |
j-invariant |
L |
9.9716984952711 |
L(r)(E,1)/r! |
Ω |
0.59956881398208 |
Real period |
R |
1.0394655983109 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10950j1 1314c1 |
Quadratic twists by: -3 5 |