Atkin-Lehner |
2- 3+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
29988n |
Isogeny class |
Conductor |
29988 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
493815251817216 = 28 · 39 · 78 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 2 -2 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-123039,16577190] |
[a1,a2,a3,a4,a6] |
j |
347482224/833 |
j-invariant |
L |
3.1501923890121 |
L(r)(E,1)/r! |
Ω |
0.52503206483523 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
119952de2 29988i2 4284c2 |
Quadratic twists by: -4 -3 -7 |