Atkin-Lehner |
2+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
23104c |
Isogeny class |
Conductor |
23104 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-2279495244707790848 = -1 · 227 · 198 |
Discriminant |
Eigenvalues |
2+ -1 0 -4 -3 -2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2149153,-1214145631] |
[a1,a2,a3,a4,a6] |
Generators |
[2011563976:343208758339:68921] |
Generators of the group modulo torsion |
j |
-246579625/512 |
j-invariant |
L |
2.2113806616651 |
L(r)(E,1)/r! |
Ω |
0.062337398370789 |
Real period |
R |
17.737190831349 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23104ba2 722a2 23104n2 |
Quadratic twists by: -4 8 -19 |