Atkin-Lehner |
2- 3+ 17- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
42024i |
Isogeny class |
Conductor |
42024 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
-252144 = -1 · 24 · 32 · 17 · 103 |
Discriminant |
Eigenvalues |
2- 3+ 3 -4 1 -7 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4,-23] |
[a1,a2,a3,a4,a6] |
Generators |
[4:3:1] |
Generators of the group modulo torsion |
j |
-562432/15759 |
j-invariant |
L |
4.6265901590412 |
L(r)(E,1)/r! |
Ω |
1.352382073065 |
Real period |
R |
0.85526683826806 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999965 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84048j1 126072e1 |
Quadratic twists by: -4 -3 |