Atkin-Lehner |
2- 3- 7- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
17556m |
Isogeny class |
Conductor |
17556 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
Δ |
-3229177045248 = -1 · 28 · 33 · 76 · 11 · 192 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11+ 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-588,86436] |
[a1,a2,a3,a4,a6] |
Generators |
[120:1326:1] |
Generators of the group modulo torsion |
j |
-87973954000/12613972833 |
j-invariant |
L |
6.557344939087 |
L(r)(E,1)/r! |
Ω |
0.65206829021063 |
Real period |
R |
3.3520747430553 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
70224bh2 52668ba2 122892b2 |
Quadratic twists by: -4 -3 -7 |