Atkin-Lehner |
2- 3+ 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
41748c |
Isogeny class |
Conductor |
41748 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
33600 |
Modular degree for the optimal curve |
Δ |
-137525092656 = -1 · 24 · 3 · 79 · 71 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- 3 1 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,915,-14622] |
[a1,a2,a3,a4,a6] |
Generators |
[4282:99127:8] |
Generators of the group modulo torsion |
j |
131072/213 |
j-invariant |
L |
5.2183311353785 |
L(r)(E,1)/r! |
Ω |
0.54599768229536 |
Real period |
R |
4.7787118009689 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125244y1 41748m1 |
Quadratic twists by: -3 -7 |