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 |
184275000000000000 = 212 · 34 · 514 · 7 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-241008,-40668012] |
[a1,a2,a3,a4,a6] |
Generators |
[-276:2214:1] |
Generators of the group modulo torsion |
j |
24190225473961/2879296875 |
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 |
6825c3 21840bp4 |
Quadratic twists by: -4 5 |