Atkin-Lehner |
3+ 19- 43- |
Signs for the Atkin-Lehner involutions |
Class |
105393j |
Isogeny class |
Conductor |
105393 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
360317693793 = 3 · 19 · 436 |
Discriminant |
Eigenvalues |
-1 3+ 2 0 0 6 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2812,48428] |
[a1,a2,a3,a4,a6] |
Generators |
[37758:338731:343] |
Generators of the group modulo torsion |
j |
389017/57 |
j-invariant |
L |
4.5029322035012 |
L(r)(E,1)/r! |
Ω |
0.9174594350908 |
Real period |
R |
4.9080450017513 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001953 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57b2 |
Quadratic twists by: -43 |