Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
71148ca |
Isogeny class |
Conductor |
71148 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
2128896 |
Modular degree for the optimal curve |
Δ |
5.9789864730243E+19 |
Discriminant |
Eigenvalues |
2- 3- 1 7- 11- 2 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4869685,4117792391] |
[a1,a2,a3,a4,a6] |
Generators |
[-1606:88311:1] |
Generators of the group modulo torsion |
j |
5767168/27 |
j-invariant |
L |
8.7290455871472 |
L(r)(E,1)/r! |
Ω |
0.19849673772396 |
Real period |
R |
7.3292939101593 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001406 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71148t1 71148cb1 |
Quadratic twists by: -7 -11 |