Atkin-Lehner |
2- 5- 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
44770q |
Isogeny class |
Conductor |
44770 |
Conductor |
∏ cp |
46 |
Product of Tamagawa factors cp |
deg |
1481568 |
Modular degree for the optimal curve |
Δ |
-3659281289896263680 = -1 · 223 · 5 · 119 · 37 |
Discriminant |
Eigenvalues |
2- 1 5- -1 11+ -6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4492430,-3666497020] |
[a1,a2,a3,a4,a6] |
j |
-4252394110807331/1551892480 |
j-invariant |
L |
2.38505035702 |
L(r)(E,1)/r! |
Ω |
0.051848920813232 |
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 |
44770e1 |
Quadratic twists by: -11 |