Atkin-Lehner |
3- 17+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
77163c |
Isogeny class |
Conductor |
77163 |
Conductor |
∏ cp |
34 |
Product of Tamagawa factors cp |
deg |
1172864 |
Modular degree for the optimal curve |
Δ |
-277424533962453483 = -1 · 317 · 176 · 89 |
Discriminant |
Eigenvalues |
0 3- -4 2 -2 6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-127545,30772685] |
[a1,a2,a3,a4,a6] |
Generators |
[147:-3902:1] |
Generators of the group modulo torsion |
j |
-9506571157504/11493474507 |
j-invariant |
L |
5.0067031988953 |
L(r)(E,1)/r! |
Ω |
0.27963750549412 |
Real period |
R |
0.52659594466015 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004754 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
267b1 |
Quadratic twists by: 17 |