Atkin-Lehner |
2- 3- 19- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
81168cm |
Isogeny class |
Conductor |
81168 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
574464 |
Modular degree for the optimal curve |
Δ |
-2353143862001664 = -1 · 234 · 34 · 19 · 89 |
Discriminant |
Eigenvalues |
2- 3- 3 4 3 -5 1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-26904,2877588] |
[a1,a2,a3,a4,a6] |
j |
-525811971027097/574498013184 |
j-invariant |
L |
6.6801844034451 |
L(r)(E,1)/r! |
Ω |
0.41751152246869 |
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 |
10146a1 |
Quadratic twists by: -4 |