Atkin-Lehner |
2+ 3- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
104742g |
Isogeny class |
Conductor |
104742 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
1622016 |
Modular degree for the optimal curve |
Δ |
-691974715056590592 = -1 · 28 · 38 · 112 · 237 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 11+ 2 -8 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,199863,-20520563] |
[a1,a2,a3,a4,a6] |
Generators |
[1198:27967:8] |
Generators of the group modulo torsion |
j |
8181353375/6412032 |
j-invariant |
L |
5.2469151110663 |
L(r)(E,1)/r! |
Ω |
0.15936730369547 |
Real period |
R |
2.0577131174076 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000958 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34914u1 4554l1 |
Quadratic twists by: -3 -23 |