Atkin-Lehner |
2- 3- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
75852k |
Isogeny class |
Conductor |
75852 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-944113459968 = -1 · 28 · 36 · 76 · 43 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 3 1 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5880,179732] |
[a1,a2,a3,a4,a6] |
Generators |
[133:1323:1] |
Generators of the group modulo torsion |
j |
-1024000/43 |
j-invariant |
L |
6.5167861985588 |
L(r)(E,1)/r! |
Ω |
0.87497241571179 |
Real period |
R |
1.8619976129016 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000141 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8428b1 1548c1 |
Quadratic twists by: -3 -7 |