Atkin-Lehner |
3- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
28899d |
Isogeny class |
Conductor |
28899 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
-2607389126901 = -1 · 37 · 137 · 19 |
Discriminant |
Eigenvalues |
1 3- 1 -3 0 13+ -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3834,120901] |
[a1,a2,a3,a4,a6] |
Generators |
[36:-187:1] [-50:3067:8] |
Generators of the group modulo torsion |
j |
-1771561/741 |
j-invariant |
L |
9.7182070849203 |
L(r)(E,1)/r! |
Ω |
0.75986399675237 |
Real period |
R |
0.79933770438331 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9633a1 2223c1 |
Quadratic twists by: -3 13 |