Atkin-Lehner |
43- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
86903f |
Isogeny class |
Conductor |
86903 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
104160 |
Modular degree for the optimal curve |
Δ |
9022530169 = 432 · 474 |
Discriminant |
Eigenvalues |
-1 3 -3 1 0 -1 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1809,29704] |
[a1,a2,a3,a4,a6] |
j |
353897432937/4879681 |
j-invariant |
L |
2.6077432434338 |
L(r)(E,1)/r! |
Ω |
1.3038716571152 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86903c1 |
Quadratic twists by: -43 |