Atkin-Lehner |
2+ 5- 13+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
66950r |
Isogeny class |
Conductor |
66950 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
9536 |
Modular degree for the optimal curve |
Δ |
334750 = 2 · 53 · 13 · 103 |
Discriminant |
Eigenvalues |
2+ -1 5- -2 -1 13+ 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-65,175] |
[a1,a2,a3,a4,a6] |
Generators |
[5:0:1] [-1:16:1] |
Generators of the group modulo torsion |
j |
248858189/2678 |
j-invariant |
L |
5.7940929379836 |
L(r)(E,1)/r! |
Ω |
3.0549959744271 |
Real period |
R |
0.94829796610077 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999881 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
66950bk1 |
Quadratic twists by: 5 |