Atkin-Lehner |
11- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
29887f |
Isogeny class |
Conductor |
29887 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-43942484448549973 = -1 · 1110 · 13 · 194 |
Discriminant |
Eigenvalues |
1 0 -2 0 11- 13+ -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-101723,16077166] |
[a1,a2,a3,a4,a6] |
Generators |
[3654:62545:8] |
Generators of the group modulo torsion |
j |
-65709397066977/24804386893 |
j-invariant |
L |
4.1354071872373 |
L(r)(E,1)/r! |
Ω |
0.33879515547597 |
Real period |
R |
3.0515542507001 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2717a4 |
Quadratic twists by: -11 |