Atkin-Lehner |
2+ 3- 5+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
113850bo |
Isogeny class |
Conductor |
113850 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
21626880 |
Modular degree for the optimal curve |
Δ |
2.63889508608E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 11+ -6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-165724317,821200798341] |
[a1,a2,a3,a4,a6] |
Generators |
[321026510:190599961:42875] |
Generators of the group modulo torsion |
j |
44191106172662624762761/2316725452800 |
j-invariant |
L |
5.7607096408488 |
L(r)(E,1)/r! |
Ω |
0.15852631941581 |
Real period |
R |
9.0847842726502 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999776578 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37950cw1 22770bg1 |
Quadratic twists by: -3 5 |