Atkin-Lehner |
2+ 3- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
36456l |
Isogeny class |
Conductor |
36456 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
220485888 = 28 · 34 · 73 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 2 6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5868,171072] |
[a1,a2,a3,a4,a6] |
Generators |
[48:48:1] |
Generators of the group modulo torsion |
j |
254527054000/2511 |
j-invariant |
L |
7.5890668235748 |
L(r)(E,1)/r! |
Ω |
1.6003546435608 |
Real period |
R |
1.1855289160609 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72912m1 109368bp1 36456f1 |
Quadratic twists by: -4 -3 -7 |