Atkin-Lehner |
2- 3- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
75852j |
Isogeny class |
Conductor |
75852 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
1843200 |
Modular degree for the optimal curve |
Δ |
-5.5861414303498E+19 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -2 6 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1866900,1045595369] |
[a1,a2,a3,a4,a6] |
Generators |
[518:-14749:1] |
Generators of the group modulo torsion |
j |
-524386048000000/40707663507 |
j-invariant |
L |
6.7082805014121 |
L(r)(E,1)/r! |
Ω |
0.19479831385998 |
Real period |
R |
0.71743867292698 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996638 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25284c1 10836i1 |
Quadratic twists by: -3 -7 |