Atkin-Lehner |
2+ 3+ 7+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
42504b |
Isogeny class |
Conductor |
42504 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-50584520448 = -1 · 28 · 32 · 73 · 112 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ 11+ 4 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,692,8020] |
[a1,a2,a3,a4,a6] |
Generators |
[13:138:1] |
Generators of the group modulo torsion |
j |
142946750000/197595783 |
j-invariant |
L |
4.7522295145914 |
L(r)(E,1)/r! |
Ω |
0.76069377132723 |
Real period |
R |
1.5618076858632 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85008y1 127512bf1 |
Quadratic twists by: -4 -3 |