Atkin-Lehner |
2+ 3- 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
62304p |
Isogeny class |
Conductor |
62304 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-157212430848 = -1 · 29 · 36 · 112 · 592 |
Discriminant |
Eigenvalues |
2+ 3- -4 -4 11- 0 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,760,17544] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:66:1] [10:162:1] |
Generators of the group modulo torsion |
j |
94694109112/307055529 |
j-invariant |
L |
8.6337014733151 |
L(r)(E,1)/r! |
Ω |
0.72440509660172 |
Real period |
R |
0.99319445176679 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999978 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62304s2 124608c2 |
Quadratic twists by: -4 8 |