Atkin-Lehner |
2+ 3+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
40368g |
Isogeny class |
Conductor |
40368 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
180960 |
Modular degree for the optimal curve |
Δ |
-384189245154048 = -1 · 28 · 3 · 298 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -1 2 -2 -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-162593,25306749] |
[a1,a2,a3,a4,a6] |
j |
-3712000/3 |
j-invariant |
L |
0.53082557424371 |
L(r)(E,1)/r! |
Ω |
0.53082557419041 |
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 |
20184i1 121104u1 40368k1 |
Quadratic twists by: -4 -3 29 |