Atkin-Lehner |
2+ 3+ 19- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
81168p |
Isogeny class |
Conductor |
81168 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
1025280 |
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 |
2.299815331479 |
L(r)(E,1)/r! |
Ω |
0.22998153022267 |
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 |
40584f1 |
Quadratic twists by: -4 |