Atkin-Lehner |
3- 5+ 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
9765a |
Isogeny class |
Conductor |
9765 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
-589090957875 = -1 · 36 · 53 · 7 · 314 |
Discriminant |
Eigenvalues |
0 3- 5+ 7+ -1 7 7 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-7488,252119] |
[a1,a2,a3,a4,a6] |
j |
-63693291257856/808080875 |
j-invariant |
L |
1.8420632889836 |
L(r)(E,1)/r! |
Ω |
0.92103164449179 |
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 |
1085d1 48825bc1 68355bd1 |
Quadratic twists by: -3 5 -7 |