Atkin-Lehner |
3+ 7- 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
89817a |
Isogeny class |
Conductor |
89817 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
63360 |
Modular degree for the optimal curve |
Δ |
-36444954273 = -1 · 3 · 76 · 133 · 47 |
Discriminant |
Eigenvalues |
1 3+ 0 7- 1 13+ 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1495,23458] |
[a1,a2,a3,a4,a6] |
j |
-3144219625/309777 |
j-invariant |
L |
1.1293232877529 |
L(r)(E,1)/r! |
Ω |
1.1293233765987 |
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 |
1833e1 |
Quadratic twists by: -7 |