Atkin-Lehner |
2+ 3- 19+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
81168t |
Isogeny class |
Conductor |
81168 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
44544 |
Modular degree for the optimal curve |
Δ |
-14378667696 = -1 · 24 · 312 · 19 · 89 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 4 2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,321,5436] |
[a1,a2,a3,a4,a6] |
j |
227910944768/898666731 |
j-invariant |
L |
2.6739473483117 |
L(r)(E,1)/r! |
Ω |
0.89131576836302 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40584b1 |
Quadratic twists by: -4 |