Atkin-Lehner |
2- 3- 19- 89- |
Signs for the Atkin-Lehner involutions |
Class |
81168cu |
Isogeny class |
Conductor |
81168 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
21277704192 = 222 · 3 · 19 · 89 |
Discriminant |
Eigenvalues |
2- 3- -4 -2 0 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1520,21204] |
[a1,a2,a3,a4,a6] |
Generators |
[27:24:1] |
Generators of the group modulo torsion |
j |
94881210481/5194752 |
j-invariant |
L |
3.8491020074411 |
L(r)(E,1)/r! |
Ω |
1.1929729144247 |
Real period |
R |
3.2264789603734 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999996764 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10146i1 |
Quadratic twists by: -4 |