Atkin-Lehner |
3- 41+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
15867c |
Isogeny class |
Conductor |
15867 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
6360 |
Modular degree for the optimal curve |
Δ |
-1285227 = -1 · 36 · 41 · 43 |
Discriminant |
Eigenvalues |
-2 3- 2 0 6 0 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-849,-9522] |
[a1,a2,a3,a4,a6] |
Generators |
[1602:22411:8] |
Generators of the group modulo torsion |
j |
-92836605952/1763 |
j-invariant |
L |
2.9923192502109 |
L(r)(E,1)/r! |
Ω |
0.44222383002878 |
Real period |
R |
6.7665264669616 |
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 |
1763d1 |
Quadratic twists by: -3 |