Atkin-Lehner |
2- 3- 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
44286bm |
Isogeny class |
Conductor |
44286 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
124416 |
Modular degree for the optimal curve |
Δ |
-1312902756 = -1 · 22 · 36 · 112 · 612 |
Discriminant |
Eigenvalues |
2- 3- -3 4 11- 1 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-37452,-2792844] |
[a1,a2,a3,a4,a6] |
j |
-48013582383090313/10850436 |
j-invariant |
L |
4.1182431123353 |
L(r)(E,1)/r! |
Ω |
0.17159346301735 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44286v1 |
Quadratic twists by: -11 |