Atkin-Lehner |
2+ 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
129360dc |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
202752 |
Modular degree for the optimal curve |
Δ |
-1629936000000 = -1 · 210 · 33 · 56 · 73 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11- -2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1640,65988] |
[a1,a2,a3,a4,a6] |
Generators |
[16:-210:1] |
Generators of the group modulo torsion |
j |
-1389715708/4640625 |
j-invariant |
L |
9.4734877462463 |
L(r)(E,1)/r! |
Ω |
0.73934729317663 |
Real period |
R |
0.35592533973472 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000033817 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64680bs1 129360x1 |
Quadratic twists by: -4 -7 |