Atkin-Lehner |
3- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
17661h |
Isogeny class |
Conductor |
17661 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
1800 |
Modular degree for the optimal curve |
Δ |
-158949 = -1 · 33 · 7 · 292 |
Discriminant |
Eigenvalues |
-1 3- 2 7- 1 4 -1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-32,-75] |
[a1,a2,a3,a4,a6] |
Generators |
[7:4:1] |
Generators of the group modulo torsion |
j |
-4317433/189 |
j-invariant |
L |
4.8259538577177 |
L(r)(E,1)/r! |
Ω |
1.0009238892812 |
Real period |
R |
1.6071664420569 |
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 |
52983c1 123627i1 17661b1 |
Quadratic twists by: -3 -7 29 |