Atkin-Lehner |
2- 3+ 7+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
17556b |
Isogeny class |
Conductor |
17556 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
49399124555088 = 24 · 312 · 7 · 112 · 193 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 11- 2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-18677,-916218] |
[a1,a2,a3,a4,a6] |
Generators |
[181:1265:1] |
Generators of the group modulo torsion |
j |
45034810384580608/3087445284693 |
j-invariant |
L |
4.7912166167211 |
L(r)(E,1)/r! |
Ω |
0.41014769895678 |
Real period |
R |
3.8938953202368 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70224ct1 52668n1 122892bj1 |
Quadratic twists by: -4 -3 -7 |