Atkin-Lehner |
2- 3- 5- 19+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
38190bi |
Isogeny class |
Conductor |
38190 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
12672 |
Modular degree for the optimal curve |
Δ |
-263969280 = -1 · 29 · 34 · 5 · 19 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -2 1 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,155,257] |
[a1,a2,a3,a4,a6] |
Generators |
[2:23:1] |
Generators of the group modulo torsion |
j |
411664745519/263969280 |
j-invariant |
L |
11.503020256917 |
L(r)(E,1)/r! |
Ω |
1.0874067480894 |
Real period |
R |
0.29384436047627 |
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 |
114570k1 |
Quadratic twists by: -3 |