Atkin-Lehner |
2- 3- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
109200ff |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-329159812800000000 = -1 · 212 · 3 · 58 · 74 · 134 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,90992,25531988] |
[a1,a2,a3,a4,a6] |
Generators |
[1324:49686:1] |
Generators of the group modulo torsion |
j |
1301812981559/5143122075 |
j-invariant |
L |
7.1022957177058 |
L(r)(E,1)/r! |
Ω |
0.21714880596307 |
Real period |
R |
4.0883805939818 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000459 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6825c4 21840bp3 |
Quadratic twists by: -4 5 |