Atkin-Lehner |
3- 7- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
81627w |
Isogeny class |
Conductor |
81627 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
-29364272339312547 = -1 · 33 · 73 · 1310 · 23 |
Discriminant |
Eigenvalues |
2 3- 0 7- -3 13+ 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-390108,94015055] |
[a1,a2,a3,a4,a6] |
Generators |
[2346:17741:8] |
Generators of the group modulo torsion |
j |
-1360251712000000/6083578683 |
j-invariant |
L |
16.127330798645 |
L(r)(E,1)/r! |
Ω |
0.37449824325362 |
Real period |
R |
2.3924353137104 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000072 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6279j1 |
Quadratic twists by: 13 |