Atkin-Lehner |
3- 11- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
94809u |
Isogeny class |
Conductor |
94809 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
-106010540966507463 = -1 · 312 · 11 · 137 · 172 |
Discriminant |
Eigenvalues |
1 3- -2 0 11- 13+ 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,104438,-8745241] |
[a1,a2,a3,a4,a6] |
Generators |
[686:6997:8] |
Generators of the group modulo torsion |
j |
26100282937247/21962862207 |
j-invariant |
L |
7.4818059987244 |
L(r)(E,1)/r! |
Ω |
0.18494701524885 |
Real period |
R |
3.371148391459 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004262 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7293c1 |
Quadratic twists by: 13 |