Atkin-Lehner |
2- 5+ 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
44770n |
Isogeny class |
Conductor |
44770 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
48600 |
Modular degree for the optimal curve |
Δ |
-655477570 = -1 · 2 · 5 · 116 · 37 |
Discriminant |
Eigenvalues |
2- -2 5+ 1 11- 4 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-6476,-201134] |
[a1,a2,a3,a4,a6] |
j |
-16954786009/370 |
j-invariant |
L |
2.394883768367 |
L(r)(E,1)/r! |
Ω |
0.26609819648262 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
370c3 |
Quadratic twists by: -11 |