Atkin-Lehner |
2- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
23104bf |
Isogeny class |
Conductor |
23104 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
60800 |
Modular degree for the optimal curve |
Δ |
-20652012657856 = -1 · 26 · 199 |
Discriminant |
Eigenvalues |
2- 2 -3 -3 -1 0 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,4573,-184939] |
[a1,a2,a3,a4,a6] |
Generators |
[11956:1307277:1] [1092:6859:27] |
Generators of the group modulo torsion |
j |
512 |
j-invariant |
L |
8.3783833100608 |
L(r)(E,1)/r! |
Ω |
0.35619970865695 |
Real period |
R |
11.760794726154 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23104bg1 11552p1 23104bh1 |
Quadratic twists by: -4 8 -19 |