Atkin-Lehner |
2- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
23104bm |
Isogeny class |
Conductor |
23104 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
-224755712 = -1 · 215 · 193 |
Discriminant |
Eigenvalues |
2- -3 2 -3 -6 -5 7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12844,560272] |
[a1,a2,a3,a4,a6] |
Generators |
[66:-8:1] [-19:893:1] |
Generators of the group modulo torsion |
j |
-1042590744 |
j-invariant |
L |
4.9704129364884 |
L(r)(E,1)/r! |
Ω |
1.4820948740874 |
Real period |
R |
0.41920502386424 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23104bi1 11552q1 23104bj1 |
Quadratic twists by: -4 8 -19 |