Atkin-Lehner |
3- 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
9075q |
Isogeny class |
Conductor |
9075 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-23396484375 = -1 · 32 · 59 · 113 |
Discriminant |
Eigenvalues |
1 3- 5- 4 11+ 2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-201,7423] |
[a1,a2,a3,a4,a6] |
Generators |
[13:77:1] |
Generators of the group modulo torsion |
j |
-343/9 |
j-invariant |
L |
6.9659012680703 |
L(r)(E,1)/r! |
Ω |
1.0052423861935 |
Real period |
R |
3.4647868831158 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27225by1 9075i1 9075s1 |
Quadratic twists by: -3 5 -11 |