Atkin-Lehner |
5- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
4675n |
Isogeny class |
Conductor |
4675 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
2700 |
Modular degree for the optimal curve |
Δ |
-33776875 = -1 · 54 · 11 · 173 |
Discriminant |
Eigenvalues |
-2 0 5- 0 11+ -4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-2825,-57794] |
[a1,a2,a3,a4,a6] |
j |
-3989321625600/54043 |
j-invariant |
L |
0.32742707841733 |
L(r)(E,1)/r! |
Ω |
0.32742707841733 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74800cz1 42075cm1 4675j1 51425bl1 |
Quadratic twists by: -4 -3 5 -11 |