Atkin-Lehner |
3- 17+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
35547h |
Isogeny class |
Conductor |
35547 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
6528 |
Modular degree for the optimal curve |
Δ |
-5438691 = -1 · 33 · 173 · 41 |
Discriminant |
Eigenvalues |
-1 3- -3 -3 2 4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,28,99] |
[a1,a2,a3,a4,a6] |
Generators |
[7:22:1] |
Generators of the group modulo torsion |
j |
493039/1107 |
j-invariant |
L |
3.1088717135096 |
L(r)(E,1)/r! |
Ω |
1.6759828965117 |
Real period |
R |
0.30915905327169 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999966 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106641c1 35547c1 |
Quadratic twists by: -3 17 |