Atkin-Lehner |
3- 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
9675s |
Isogeny class |
Conductor |
9675 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-8926548046875 = -1 · 312 · 58 · 43 |
Discriminant |
Eigenvalues |
-2 3- 5+ 4 3 -5 -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,2175,-138344] |
[a1,a2,a3,a4,a6] |
Generators |
[40:112:1] |
Generators of the group modulo torsion |
j |
99897344/783675 |
j-invariant |
L |
2.4767193499195 |
L(r)(E,1)/r! |
Ω |
0.36335370737125 |
Real period |
R |
1.7040691340662 |
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 |
3225d1 1935h1 |
Quadratic twists by: -3 5 |