Atkin-Lehner |
2+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
23104u |
Isogeny class |
Conductor |
23104 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-57207791296 = -1 · 26 · 197 |
Discriminant |
Eigenvalues |
2+ -2 -3 -1 -3 -4 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1110917,450312229] |
[a1,a2,a3,a4,a6] |
Generators |
[-564:29963:1] [604:179:1] |
Generators of the group modulo torsion |
j |
-50357871050752/19 |
j-invariant |
L |
4.3445472820975 |
L(r)(E,1)/r! |
Ω |
0.66950279292233 |
Real period |
R |
1.6223036438485 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999973 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23104bz3 361b3 1216d3 |
Quadratic twists by: -4 8 -19 |