Atkin-Lehner |
2+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
23104k |
Isogeny class |
Conductor |
23104 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-57207791296 = -1 · 26 · 197 |
Discriminant |
Eigenvalues |
2+ 0 1 -1 -3 -4 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-722,-13718] |
[a1,a2,a3,a4,a6] |
Generators |
[57:361:1] [1938:29963:8] |
Generators of the group modulo torsion |
j |
-13824/19 |
j-invariant |
L |
7.5886766511301 |
L(r)(E,1)/r! |
Ω |
0.43842363280731 |
Real period |
R |
4.327251135242 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23104j1 11552g1 1216a1 |
Quadratic twists by: -4 8 -19 |