Atkin-Lehner |
2+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
40768bt |
Isogeny class |
Conductor |
40768 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-1763786752 = -1 · 214 · 72 · 133 |
Discriminant |
Eigenvalues |
2+ -2 0 7- 3 13- -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1073,13327] |
[a1,a2,a3,a4,a6] |
Generators |
[31:104:1] |
Generators of the group modulo torsion |
j |
-170338000/2197 |
j-invariant |
L |
4.0658944807012 |
L(r)(E,1)/r! |
Ω |
1.4946797738841 |
Real period |
R |
0.22668704426105 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999959 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40768du2 2548g2 40768d2 |
Quadratic twists by: -4 8 -7 |