Atkin-Lehner |
3- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
6897d |
Isogeny class |
Conductor |
6897 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
21600 |
Modular degree for the optimal curve |
Δ |
-881818203637107 = -1 · 39 · 119 · 19 |
Discriminant |
Eigenvalues |
0 3- 0 -2 11- 1 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-43963,3810208] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:1996:1] |
Generators of the group modulo torsion |
j |
-5304438784000/497763387 |
j-invariant |
L |
3.7789276492464 |
L(r)(E,1)/r! |
Ω |
0.48750395120383 |
Real period |
R |
0.21532176758743 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110352bg1 20691m1 627b1 |
Quadratic twists by: -4 -3 -11 |