Atkin-Lehner |
2+ 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
81600eb |
Isogeny class |
Conductor |
81600 |
Conductor |
∏ cp |
448 |
Product of Tamagawa factors cp |
deg |
10321920 |
Modular degree for the optimal curve |
Δ |
-4.8819140875094E+23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 0 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2023633,33634134863] |
[a1,a2,a3,a4,a6] |
Generators |
[-37:183600:1] |
Generators of the group modulo torsion |
j |
-3579968623693264/1906997690433375 |
j-invariant |
L |
10.013405598424 |
L(r)(E,1)/r! |
Ω |
0.075519282945052 |
Real period |
R |
1.1838752124483 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999986877 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81600gs1 10200bd1 16320p1 |
Quadratic twists by: -4 8 5 |