Atkin-Lehner |
2- 3- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
113256bx |
Isogeny class |
Conductor |
113256 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
921600 |
Modular degree for the optimal curve |
Δ |
-56166334578072576 = -1 · 210 · 39 · 118 · 13 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 11- 13- 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,95469,-1051490] |
[a1,a2,a3,a4,a6] |
Generators |
[12683:1428768:1] |
Generators of the group modulo torsion |
j |
72765788/42471 |
j-invariant |
L |
4.1010466982196 |
L(r)(E,1)/r! |
Ω |
0.2082615217257 |
Real period |
R |
4.9229530500071 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998144496 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37752k1 10296c1 |
Quadratic twists by: -3 -11 |