Atkin-Lehner |
2- 3+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
11856s |
Isogeny class |
Conductor |
11856 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-1075708919021568 = -1 · 233 · 3 · 133 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 0 1 -3 13- 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,20312,1110640] |
[a1,a2,a3,a4,a6] |
Generators |
[2244:106496:1] |
Generators of the group modulo torsion |
j |
226256177900375/262624247808 |
j-invariant |
L |
3.9891287883149 |
L(r)(E,1)/r! |
Ω |
0.3274050552806 |
Real period |
R |
1.0153398478876 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1482e2 47424dc2 35568bx2 |
Quadratic twists by: -4 8 -3 |