Atkin-Lehner |
2+ 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
119952t |
Isogeny class |
Conductor |
119952 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
50762565568512 = 211 · 36 · 76 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 2 6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-21315,-1147678] |
[a1,a2,a3,a4,a6] |
Generators |
[-91:196:1] |
Generators of the group modulo torsion |
j |
6097250/289 |
j-invariant |
L |
8.1711297294203 |
L(r)(E,1)/r! |
Ω |
0.39627998304787 |
Real period |
R |
1.2887242031221 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000053303 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59976j2 13328e2 2448f2 |
Quadratic twists by: -4 -3 -7 |