Atkin-Lehner |
2+ 31+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
41168a |
Isogeny class |
Conductor |
41168 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
7872 |
Modular degree for the optimal curve |
Δ |
-3416944 = -1 · 24 · 31 · 832 |
Discriminant |
Eigenvalues |
2+ -2 3 3 0 -2 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-84,283] |
[a1,a2,a3,a4,a6] |
Generators |
[58:83:8] |
Generators of the group modulo torsion |
j |
-4145734912/213559 |
j-invariant |
L |
5.8235247763894 |
L(r)(E,1)/r! |
Ω |
2.4775830332932 |
Real period |
R |
1.1752431095415 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20584a1 |
Quadratic twists by: -4 |