Atkin-Lehner |
3+ 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
44649d |
Isogeny class |
Conductor |
44649 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
44038960713 = 39 · 113 · 412 |
Discriminant |
Eigenvalues |
1 3+ 0 0 11+ -4 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-10302,404927] |
[a1,a2,a3,a4,a6] |
j |
4615754625/1681 |
j-invariant |
L |
2.2363051566277 |
L(r)(E,1)/r! |
Ω |
1.1181525783684 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44649b1 44649a1 |
Quadratic twists by: -3 -11 |