Atkin-Lehner |
5- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
4675s |
Isogeny class |
Conductor |
4675 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
1296 |
Modular degree for the optimal curve |
Δ |
-33776875 = -1 · 54 · 11 · 173 |
Discriminant |
Eigenvalues |
-2 0 5- -3 11+ 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-125,606] |
[a1,a2,a3,a4,a6] |
Generators |
[6:8:1] |
Generators of the group modulo torsion |
j |
-345600000/54043 |
j-invariant |
L |
1.5476503291027 |
L(r)(E,1)/r! |
Ω |
1.9983347400002 |
Real period |
R |
0.25815667050566 |
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 |
74800df1 42075ci1 4675e1 51425bg1 |
Quadratic twists by: -4 -3 5 -11 |