Atkin-Lehner |
2- 3+ 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
41748b |
Isogeny class |
Conductor |
41748 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
13392 |
Modular degree for the optimal curve |
Δ |
-1707326208 = -1 · 28 · 33 · 72 · 712 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 4 1 -4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,187,-1791] |
[a1,a2,a3,a4,a6] |
Generators |
[16:71:1] |
Generators of the group modulo torsion |
j |
57344000/136107 |
j-invariant |
L |
5.1649534705606 |
L(r)(E,1)/r! |
Ω |
0.77265730516464 |
Real period |
R |
1.1141104506143 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999928 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125244t1 41748i1 |
Quadratic twists by: -3 -7 |