Atkin-Lehner |
2+ 5+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
41800i |
Isogeny class |
Conductor |
41800 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
3041280 |
Modular degree for the optimal curve |
Δ |
-8.6734747865744E+20 |
Discriminant |
Eigenvalues |
2+ -3 5+ 2 11- -3 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2989075,2442172750] |
[a1,a2,a3,a4,a6] |
Generators |
[-970:66550:1] |
Generators of the group modulo torsion |
j |
-92296274330873538/27104608708045 |
j-invariant |
L |
3.8756137188061 |
L(r)(E,1)/r! |
Ω |
0.14975942692133 |
Real period |
R |
0.58815749888785 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999934 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83600g1 8360o1 |
Quadratic twists by: -4 5 |