Atkin-Lehner |
2- 5- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
41140n |
Isogeny class |
Conductor |
41140 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
12672 |
Modular degree for the optimal curve |
Δ |
20570000 = 24 · 54 · 112 · 17 |
Discriminant |
Eigenvalues |
2- -2 5- -4 11- -5 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-150,625] |
[a1,a2,a3,a4,a6] |
Generators |
[10:-15:1] [-10:35:1] |
Generators of the group modulo torsion |
j |
194081536/10625 |
j-invariant |
L |
6.0775711992444 |
L(r)(E,1)/r! |
Ω |
2.1274315035581 |
Real period |
R |
0.23806372414655 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41140q1 |
Quadratic twists by: -11 |