Atkin-Lehner |
2+ 3- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
36456k |
Isogeny class |
Conductor |
36456 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
171521263936512 = 210 · 38 · 77 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 2 2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-14128,139376] |
[a1,a2,a3,a4,a6] |
Generators |
[-61:882:1] |
Generators of the group modulo torsion |
j |
2588858500/1423737 |
j-invariant |
L |
7.4610831888056 |
L(r)(E,1)/r! |
Ω |
0.49711030833246 |
Real period |
R |
0.93805678837084 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72912l1 109368bn1 5208b1 |
Quadratic twists by: -4 -3 -7 |