Atkin-Lehner |
2+ 7- 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
101738m |
Isogeny class |
Conductor |
101738 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
2121600 |
Modular degree for the optimal curve |
Δ |
-50699529070578206 = -1 · 2 · 75 · 138 · 432 |
Discriminant |
Eigenvalues |
2+ -3 -3 7- -2 13+ -4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-33916,-11088362] |
[a1,a2,a3,a4,a6] |
Generators |
[3169:176457:1] |
Generators of the group modulo torsion |
j |
-5289297273/62152286 |
j-invariant |
L |
2.1479106946277 |
L(r)(E,1)/r! |
Ω |
0.15166658248737 |
Real period |
R |
0.47206854022315 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000133918 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101738r1 |
Quadratic twists by: 13 |