Atkin-Lehner |
2- 3+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
29988i |
Isogeny class |
Conductor |
29988 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
677387176704 = 28 · 33 · 78 · 17 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- -2 -2 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13671,-613970] |
[a1,a2,a3,a4,a6] |
Generators |
[4046:257250:1] |
Generators of the group modulo torsion |
j |
347482224/833 |
j-invariant |
L |
4.2867556321499 |
L(r)(E,1)/r! |
Ω |
0.44158269480191 |
Real period |
R |
4.853853743151 |
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 |
119952cp2 29988n2 4284d2 |
Quadratic twists by: -4 -3 -7 |