Atkin-Lehner |
2+ 3- 19+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
40584f |
Isogeny class |
Conductor |
40584 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
512640 |
Modular degree for the optimal curve |
Δ |
-48261603297420288 = -1 · 210 · 33 · 195 · 893 |
Discriminant |
Eigenvalues |
2+ 3- -4 -3 -3 5 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,82040,-5442016] |
[a1,a2,a3,a4,a6] |
j |
59634202658012636/47130471970137 |
j-invariant |
L |
1.1926738680331 |
L(r)(E,1)/r! |
Ω |
0.1987789780033 |
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 |
81168p1 121752bc1 |
Quadratic twists by: -4 -3 |