Atkin-Lehner |
2+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
23104a |
Isogeny class |
Conductor |
23104 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-20652012657856 = -1 · 26 · 199 |
Discriminant |
Eigenvalues |
2+ 0 1 3 5 0 -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-54872,-4952198] |
[a1,a2,a3,a4,a6] |
Generators |
[235092118023:-8245366935161:184220009] |
Generators of the group modulo torsion |
j |
-884736 |
j-invariant |
L |
6.2195643162274 |
L(r)(E,1)/r! |
Ω |
0.15595612294243 |
Real period |
R |
19.940109432328 |
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 |
23104x2 361a2 23104a1 |
Quadratic twists by: -4 8 -19 |