Atkin-Lehner |
2- 3- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
119952ed |
Isogeny class |
Conductor |
119952 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-676563473897127936 = -1 · 215 · 36 · 78 · 173 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ 0 2 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,215061,-9618406] |
[a1,a2,a3,a4,a6] |
j |
63905303/39304 |
j-invariant |
L |
1.9907693604114 |
L(r)(E,1)/r! |
Ω |
0.16589745904636 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14994cc2 13328j2 119952fj2 |
Quadratic twists by: -4 -3 -7 |