Atkin-Lehner |
2- 3- 5- 19+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
121410bj |
Isogeny class |
Conductor |
121410 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
12725221884750000 = 24 · 312 · 56 · 19 · 712 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 0 -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-59522,-1320879] |
[a1,a2,a3,a4,a6] |
Generators |
[-189:1869:1] |
Generators of the group modulo torsion |
j |
31990563496069849/17455722750000 |
j-invariant |
L |
14.402358146469 |
L(r)(E,1)/r! |
Ω |
0.32630515056851 |
Real period |
R |
0.9195353713015 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000886 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40470b2 |
Quadratic twists by: -3 |