Atkin-Lehner |
2- 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
10406g |
Isogeny class |
Conductor |
10406 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-133245519403942 = -1 · 2 · 117 · 434 |
Discriminant |
Eigenvalues |
2- 0 2 0 11- -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,9536,-426599] |
[a1,a2,a3,a4,a6] |
Generators |
[337516625864587540:-12754715437715767041:243765816967232] |
Generators of the group modulo torsion |
j |
54138849687/75213622 |
j-invariant |
L |
7.2047769926681 |
L(r)(E,1)/r! |
Ω |
0.31062532099004 |
Real period |
R |
23.19442912672 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83248bj3 93654o3 946a4 |
Quadratic twists by: -4 -3 -11 |