Atkin-Lehner |
17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
8381d |
Isogeny class |
Conductor |
8381 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
7956 |
Modular degree for the optimal curve |
Δ |
202296965789 = 178 · 29 |
Discriminant |
Eigenvalues |
0 2 1 1 -2 -1 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-3275,-67736] |
[a1,a2,a3,a4,a6] |
Generators |
[-49192:50096:1331] |
Generators of the group modulo torsion |
j |
557056/29 |
j-invariant |
L |
5.2795314710723 |
L(r)(E,1)/r! |
Ω |
0.63312473602237 |
Real period |
R |
8.3388488408164 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75429v1 8381a1 |
Quadratic twists by: -3 17 |