Atkin-Lehner |
2- 3- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
75072df |
Isogeny class |
Conductor |
75072 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
57344 |
Modular degree for the optimal curve |
Δ |
-224163790848 = -1 · 218 · 37 · 17 · 23 |
Discriminant |
Eigenvalues |
2- 3- 0 2 -3 -1 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1087,18495] |
[a1,a2,a3,a4,a6] |
Generators |
[31:288:1] |
Generators of the group modulo torsion |
j |
541343375/855117 |
j-invariant |
L |
8.6927628328105 |
L(r)(E,1)/r! |
Ω |
0.67778361609787 |
Real period |
R |
0.45804561827328 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999999892 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75072r1 18768r1 |
Quadratic twists by: -4 8 |