Atkin-Lehner |
2- 7- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
5656g |
Isogeny class |
Conductor |
5656 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
672 |
Modular degree for the optimal curve |
Δ |
-8868608 = -1 · 28 · 73 · 101 |
Discriminant |
Eigenvalues |
2- -1 0 7- -2 6 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-28,164] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:14:1] |
Generators of the group modulo torsion |
j |
-9826000/34643 |
j-invariant |
L |
3.3274544895404 |
L(r)(E,1)/r! |
Ω |
2.027084035798 |
Real period |
R |
0.13679150406767 |
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 |
11312b1 45248o1 50904c1 39592l1 |
Quadratic twists by: -4 8 -3 -7 |