Atkin-Lehner |
5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
4675l |
Isogeny class |
Conductor |
4675 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1728 |
Modular degree for the optimal curve |
Δ |
-6010296875 = -1 · 56 · 113 · 172 |
Discriminant |
Eigenvalues |
0 -1 5+ -2 11- -2 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,267,3243] |
[a1,a2,a3,a4,a6] |
Generators |
[13:93:1] |
Generators of the group modulo torsion |
j |
134217728/384659 |
j-invariant |
L |
2.1832321378291 |
L(r)(E,1)/r! |
Ω |
0.94569438345397 |
Real period |
R |
0.3847670339783 |
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 |
74800bk1 42075t1 187a1 51425f1 |
Quadratic twists by: -4 -3 5 -11 |