Atkin-Lehner |
2- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
123200fk |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-156590819000000 = -1 · 26 · 56 · 76 · 113 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- 11+ -4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4933,-615013] |
[a1,a2,a3,a4,a6] |
Generators |
[158:1589:1] |
Generators of the group modulo torsion |
j |
-13278380032/156590819 |
j-invariant |
L |
5.546790468006 |
L(r)(E,1)/r! |
Ω |
0.24553646333477 |
Real period |
R |
3.7650826833863 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999108602 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123200s2 30800bt2 4928t2 |
Quadratic twists by: -4 8 5 |