Atkin-Lehner |
2- 3- 43- |
Signs for the Atkin-Lehner involutions |
Class |
88752bm |
Isogeny class |
Conductor |
88752 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
314496 |
Modular degree for the optimal curve |
Δ |
-558379302912 = -1 · 225 · 32 · 432 |
Discriminant |
Eigenvalues |
2- 3- 4 4 1 -4 -5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-21256,1186292] |
[a1,a2,a3,a4,a6] |
j |
-140246460241/73728 |
j-invariant |
L |
7.2787993743303 |
L(r)(E,1)/r! |
Ω |
0.90984992877889 |
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 |
11094g1 88752n1 |
Quadratic twists by: -4 -43 |