Atkin-Lehner |
2- 3- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
11856bc |
Isogeny class |
Conductor |
11856 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
133056 |
Modular degree for the optimal curve |
Δ |
-270029201099194368 = -1 · 223 · 33 · 137 · 19 |
Discriminant |
Eigenvalues |
2- 3- 0 3 3 13+ -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-211128,-45007020] |
[a1,a2,a3,a4,a6] |
Generators |
[6246:492288:1] |
Generators of the group modulo torsion |
j |
-254099214331341625/65925097924608 |
j-invariant |
L |
6.2728346994218 |
L(r)(E,1)/r! |
Ω |
0.10986756755511 |
Real period |
R |
4.7578756550663 |
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 |
1482a1 47424cl1 35568bh1 |
Quadratic twists by: -4 8 -3 |