Atkin-Lehner |
3+ 5+ 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
123975d |
Isogeny class |
Conductor |
123975 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
456192 |
Modular degree for the optimal curve |
Δ |
-402463529296875 = -1 · 39 · 59 · 192 · 29 |
Discriminant |
Eigenvalues |
0 3+ 5+ 4 1 4 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-16200,-1249594] |
[a1,a2,a3,a4,a6] |
j |
-1528823808/1308625 |
j-invariant |
L |
3.2677393893285 |
L(r)(E,1)/r! |
Ω |
0.20423376945281 |
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 |
123975a1 24795b1 |
Quadratic twists by: -3 5 |