Atkin-Lehner |
2- 3- 37+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
48618d |
Isogeny class |
Conductor |
48618 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
894503473959168 = 28 · 38 · 372 · 733 |
Discriminant |
Eigenvalues |
2- 3- 2 2 4 0 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-78269,-8284795] |
[a1,a2,a3,a4,a6] |
Generators |
[-165:424:1] |
Generators of the group modulo torsion |
j |
72737829440921737/1227028084992 |
j-invariant |
L |
12.293556638821 |
L(r)(E,1)/r! |
Ω |
0.28572410712643 |
Real period |
R |
2.6891230762926 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999937 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16206c1 |
Quadratic twists by: -3 |