Atkin-Lehner |
2- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
40898bg |
Isogeny class |
Conductor |
40898 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
Δ |
-4905268166656 = -1 · 214 · 116 · 132 |
Discriminant |
Eigenvalues |
2- 0 1 4 11- 13+ -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-47092,3946583] |
[a1,a2,a3,a4,a6] |
Generators |
[113:185:1] |
Generators of the group modulo torsion |
j |
-38575685889/16384 |
j-invariant |
L |
10.502882200956 |
L(r)(E,1)/r! |
Ω |
0.75677385824943 |
Real period |
R |
0.49566053538893 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
338a2 40898f2 |
Quadratic twists by: -11 13 |