Atkin-Lehner |
2+ 3- 5+ 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
43050n |
Isogeny class |
Conductor |
43050 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
236544 |
Modular degree for the optimal curve |
Δ |
32168036250000 = 24 · 37 · 57 · 7 · 412 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -4 -6 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-38501,2891648] |
[a1,a2,a3,a4,a6] |
Generators |
[87:-494:1] [-1194:19043:8] |
Generators of the group modulo torsion |
j |
403927573008961/2058754320 |
j-invariant |
L |
7.6802178561048 |
L(r)(E,1)/r! |
Ω |
0.66106408698011 |
Real period |
R |
0.41492723665259 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999986 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129150cw1 8610n1 |
Quadratic twists by: -3 5 |