Atkin-Lehner |
3+ 5+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
48165c |
Isogeny class |
Conductor |
48165 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
354816 |
Modular degree for the optimal curve |
Δ |
-14351423844344535 = -1 · 33 · 5 · 138 · 194 |
Discriminant |
Eigenvalues |
1 3+ 5+ 4 0 13+ 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,59992,-1086093] |
[a1,a2,a3,a4,a6] |
Generators |
[505173039960494:-6198288128812575:26867915972351] |
Generators of the group modulo torsion |
j |
4946890630319/2973273615 |
j-invariant |
L |
6.0156488724786 |
L(r)(E,1)/r! |
Ω |
0.23025767679594 |
Real period |
R |
26.125725562006 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999384 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3705c1 |
Quadratic twists by: 13 |