Atkin-Lehner |
2- 3- 19+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
4902l |
Isogeny class |
Conductor |
4902 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
26823744 = 26 · 33 · 192 · 43 |
Discriminant |
Eigenvalues |
2- 3- -2 2 4 6 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-8729,-314631] |
[a1,a2,a3,a4,a6] |
j |
73556372280592657/26823744 |
j-invariant |
L |
4.44529606526 |
L(r)(E,1)/r! |
Ω |
0.49392178502889 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39216u1 14706i1 122550a1 93138g1 |
Quadratic twists by: -4 -3 5 -19 |