Atkin-Lehner |
3- 5- 29- 53- |
Signs for the Atkin-Lehner involutions |
Class |
69165s |
Isogeny class |
Conductor |
69165 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
87552 |
Modular degree for the optimal curve |
Δ |
-18907981875 = -1 · 39 · 54 · 29 · 53 |
Discriminant |
Eigenvalues |
2 3- 5- 3 -4 1 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1767,-29345] |
[a1,a2,a3,a4,a6] |
Generators |
[434:1481:8] |
Generators of the group modulo torsion |
j |
-836962177024/25936875 |
j-invariant |
L |
15.416348953922 |
L(r)(E,1)/r! |
Ω |
0.36750927288992 |
Real period |
R |
2.6217618999448 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000084 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23055b1 |
Quadratic twists by: -3 |