Atkin-Lehner |
2- 3- 23+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
48024i |
Isogeny class |
Conductor |
48024 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
290304 |
Modular degree for the optimal curve |
Δ |
-5094866664059904 = -1 · 210 · 36 · 234 · 293 |
Discriminant |
Eigenvalues |
2- 3- 3 -2 3 7 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1989,3434022] |
[a1,a2,a3,a4,a6] |
j |
1165736988/6825042149 |
j-invariant |
L |
4.0728253483722 |
L(r)(E,1)/r! |
Ω |
0.3394021123784 |
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 |
96048n1 5336a1 |
Quadratic twists by: -4 -3 |