Atkin-Lehner |
3- 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
9675r |
Isogeny class |
Conductor |
9675 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1584 |
Modular degree for the optimal curve |
Δ |
-783675 = -1 · 36 · 52 · 43 |
Discriminant |
Eigenvalues |
-2 3- 5+ 2 -4 -2 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,15,36] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:4:1] |
Generators of the group modulo torsion |
j |
20480/43 |
j-invariant |
L |
2.1778882467761 |
L(r)(E,1)/r! |
Ω |
1.962770798235 |
Real period |
R |
0.55479943168466 |
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 |
1075e1 9675w1 |
Quadratic twists by: -3 5 |