Atkin-Lehner |
2- 7+ 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
16744h |
Isogeny class |
Conductor |
16744 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
13120 |
Modular degree for the optimal curve |
Δ |
15303212288 = 28 · 7 · 135 · 23 |
Discriminant |
Eigenvalues |
2- -2 2 7+ -3 13- 5 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1177,-14757] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:26:1] |
Generators of the group modulo torsion |
j |
704988556288/59778173 |
j-invariant |
L |
3.3942868364957 |
L(r)(E,1)/r! |
Ω |
0.81943289039211 |
Real period |
R |
0.41422389512233 |
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 |
33488j1 117208l1 |
Quadratic twists by: -4 -7 |