Atkin-Lehner |
2- 5- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
112700z |
Isogeny class |
Conductor |
112700 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
229029661280000 = 28 · 54 · 76 · 233 |
Discriminant |
Eigenvalues |
2- 2 5- 7- -3 -5 -6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-54308,4834712] |
[a1,a2,a3,a4,a6] |
j |
941054800/12167 |
j-invariant |
L |
1.6806403608735 |
L(r)(E,1)/r! |
Ω |
0.56021351144987 |
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 |
112700t2 2300h2 |
Quadratic twists by: 5 -7 |