Atkin-Lehner |
2+ 3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
121296bd |
Isogeny class |
Conductor |
121296 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
Δ |
235156163171328 = 210 · 314 · 7 · 193 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 0 2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16688,-385308] |
[a1,a2,a3,a4,a6] |
Generators |
[-104:486:1] |
Generators of the group modulo torsion |
j |
73181591500/33480783 |
j-invariant |
L |
9.620714740247 |
L(r)(E,1)/r! |
Ω |
0.43869643128823 |
Real period |
R |
0.78322258952418 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002335 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60648a2 121296h2 |
Quadratic twists by: -4 -19 |