Atkin-Lehner |
3- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
20691o |
Isogeny class |
Conductor |
20691 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10800 |
Modular degree for the optimal curve |
Δ |
-24537891411 = -1 · 36 · 116 · 19 |
Discriminant |
Eigenvalues |
0 3- -3 1 11- 4 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,726,-333] |
[a1,a2,a3,a4,a6] |
Generators |
[5:58:1] |
Generators of the group modulo torsion |
j |
32768/19 |
j-invariant |
L |
3.2369268703427 |
L(r)(E,1)/r! |
Ω |
0.71011136120577 |
Real period |
R |
2.2791684848179 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2299d1 171b1 |
Quadratic twists by: -3 -11 |