Atkin-Lehner |
2- 3+ 7+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
17556b |
Isogeny class |
Conductor |
17556 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
4732360977206016 = 28 · 36 · 72 · 11 · 196 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 11- 2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-58772,4392360] |
[a1,a2,a3,a4,a6] |
Generators |
[14:1890:1] |
Generators of the group modulo torsion |
j |
87700596256752208/18485785067211 |
j-invariant |
L |
4.7912166167211 |
L(r)(E,1)/r! |
Ω |
0.41014769895678 |
Real period |
R |
1.9469476601184 |
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 |
70224ct2 52668n2 122892bj2 |
Quadratic twists by: -4 -3 -7 |