Atkin-Lehner |
2+ 5- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
46930m |
Isogeny class |
Conductor |
46930 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
653760 |
Modular degree for the optimal curve |
Δ |
-1454725223988140 = -1 · 22 · 5 · 139 · 193 |
Discriminant |
Eigenvalues |
2+ 1 5- -3 2 13+ 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1731668,-877237682] |
[a1,a2,a3,a4,a6] |
j |
-83725248159695345419/212089987460 |
j-invariant |
L |
1.0528665976287 |
L(r)(E,1)/r! |
Ω |
0.065804162347887 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46930bj1 |
Quadratic twists by: -19 |