Atkin-Lehner |
2- 5- 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
104060j |
Isogeny class |
Conductor |
104060 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1419264 |
Modular degree for the optimal curve |
Δ |
633698441956250000 = 24 · 58 · 119 · 43 |
Discriminant |
Eigenvalues |
2- -2 5- 3 11+ 6 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-311010,-54783467] |
[a1,a2,a3,a4,a6] |
Generators |
[7338:166375:8] |
Generators of the group modulo torsion |
j |
88184857856/16796875 |
j-invariant |
L |
6.1747092755783 |
L(r)(E,1)/r! |
Ω |
0.20483621160917 |
Real period |
R |
1.884038591971 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000052312 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104060m1 |
Quadratic twists by: -11 |