Atkin-Lehner |
2+ 3- 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
2898f |
Isogeny class |
Conductor |
2898 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
31680 |
Modular degree for the optimal curve |
Δ |
-50924294399817216 = -1 · 29 · 37 · 711 · 23 |
Discriminant |
Eigenvalues |
2+ 3- -3 7+ -4 -3 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,81864,-6070464] |
[a1,a2,a3,a4,a6] |
j |
83228502970940543/69854999176704 |
j-invariant |
L |
0.39330003347709 |
L(r)(E,1)/r! |
Ω |
0.19665001673854 |
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 |
23184ca1 92736bi1 966j1 72450er1 |
Quadratic twists by: -4 8 -3 5 |