Atkin-Lehner |
2- 3- 7+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
41748i |
Isogeny class |
Conductor |
41748 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
93744 |
Modular degree for the optimal curve |
Δ |
-200865221044992 = -1 · 28 · 33 · 78 · 712 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 4 -1 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,9147,596007] |
[a1,a2,a3,a4,a6] |
Generators |
[-39:426:1] |
Generators of the group modulo torsion |
j |
57344000/136107 |
j-invariant |
L |
7.6810814865175 |
L(r)(E,1)/r! |
Ω |
0.3934292731322 |
Real period |
R |
1.0846339568321 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125244h1 41748b1 |
Quadratic twists by: -3 -7 |