Atkin-Lehner |
3- 23- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
8487j |
Isogeny class |
Conductor |
8487 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
-28185327 = -1 · 36 · 23 · 412 |
Discriminant |
Eigenvalues |
-1 3- 2 2 -2 6 -8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-119,-530] |
[a1,a2,a3,a4,a6] |
Generators |
[25:95:1] |
Generators of the group modulo torsion |
j |
-253636137/38663 |
j-invariant |
L |
3.3587063833486 |
L(r)(E,1)/r! |
Ω |
0.71718624697546 |
Real period |
R |
2.3415858833832 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
943a1 |
Quadratic twists by: -3 |