Atkin-Lehner |
2- 7- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
5656f |
Isogeny class |
Conductor |
5656 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1728 |
Modular degree for the optimal curve |
Δ |
3041932544 = 28 · 76 · 101 |
Discriminant |
Eigenvalues |
2- 0 1 7- 0 -5 5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-572,4548] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:98:1] |
Generators of the group modulo torsion |
j |
80848475136/11882549 |
j-invariant |
L |
4.0656927799713 |
L(r)(E,1)/r! |
Ω |
1.3656310352322 |
Real period |
R |
0.24809609837745 |
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 |
11312a1 45248n1 50904d1 39592i1 |
Quadratic twists by: -4 8 -3 -7 |