Atkin-Lehner |
2- 3- 7- 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
65142bb |
Isogeny class |
Conductor |
65142 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
267520 |
Modular degree for the optimal curve |
Δ |
-478574847894528 = -1 · 210 · 317 · 7 · 11 · 47 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11+ -4 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-11786,-1159095] |
[a1,a2,a3,a4,a6] |
Generators |
[203:2085:1] |
Generators of the group modulo torsion |
j |
-248348160936793/656481272832 |
j-invariant |
L |
7.5924196517857 |
L(r)(E,1)/r! |
Ω |
0.21291036700601 |
Real period |
R |
0.89150422286463 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000902 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21714d1 |
Quadratic twists by: -3 |