Atkin-Lehner |
2+ 3- 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
106470cl |
Isogeny class |
Conductor |
106470 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
106686720 |
Modular degree for the optimal curve |
Δ |
-7.6611711085444E+27 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -3 13+ -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-879818679,-10891548196515] |
[a1,a2,a3,a4,a6] |
Generators |
[803371:719168627:1] |
Generators of the group modulo torsion |
j |
-21405018343206000779641/2177246093750000000 |
j-invariant |
L |
3.4995242385255 |
L(r)(E,1)/r! |
Ω |
0.013780868578414 |
Real period |
R |
3.5269550180394 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999438894 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11830p1 8190bl1 |
Quadratic twists by: -3 13 |