Atkin-Lehner |
3- 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
4959c |
Isogeny class |
Conductor |
4959 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
-8491895739 = -1 · 312 · 19 · 292 |
Discriminant |
Eigenvalues |
0 3- 3 -1 5 -4 7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-246,-4676] |
[a1,a2,a3,a4,a6] |
j |
-2258403328/11648691 |
j-invariant |
L |
2.1732859175091 |
L(r)(E,1)/r! |
Ω |
0.54332147937729 |
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 |
79344bt1 1653a1 123975s1 94221j1 |
Quadratic twists by: -4 -3 5 -19 |