Atkin-Lehner |
2- 3+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
119952de |
Isogeny class |
Conductor |
119952 |
Conductor |
∏ cp |
8 |
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 |
2.0395838961267 |
L(r)(E,1)/r! |
Ω |
0.25494788771336 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29988n2 119952cp2 17136n2 |
Quadratic twists by: -4 -3 -7 |