Atkin-Lehner |
2- 7- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
16744j |
Isogeny class |
Conductor |
16744 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
-97220754176 = -1 · 28 · 74 · 13 · 233 |
Discriminant |
Eigenvalues |
2- -1 1 7- 5 13- -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2945,64309] |
[a1,a2,a3,a4,a6] |
Generators |
[-45:322:1] |
Generators of the group modulo torsion |
j |
-11037916496896/379768571 |
j-invariant |
L |
4.6287685273395 |
L(r)(E,1)/r! |
Ω |
1.0604600602096 |
Real period |
R |
0.18186951356536 |
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 |
33488b1 117208q1 |
Quadratic twists by: -4 -7 |