Atkin-Lehner |
2+ 3- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
44616h |
Isogeny class |
Conductor |
44616 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
26496 |
Modular degree for the optimal curve |
Δ |
-4146075648 = -1 · 211 · 32 · 113 · 132 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 11+ 13+ -4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-264,-3600] |
[a1,a2,a3,a4,a6] |
j |
-5901506/11979 |
j-invariant |
L |
1.1119176628558 |
L(r)(E,1)/r! |
Ω |
0.55595883135885 |
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 |
89232i1 44616t1 |
Quadratic twists by: -4 13 |