Atkin-Lehner |
2+ 5+ 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
44770b |
Isogeny class |
Conductor |
44770 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
253344 |
Modular degree for the optimal curve |
Δ |
-31518080000000 = -1 · 213 · 57 · 113 · 37 |
Discriminant |
Eigenvalues |
2+ -3 5+ 3 11+ -2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,2645,264325] |
[a1,a2,a3,a4,a6] |
j |
1537199813421/23680000000 |
j-invariant |
L |
0.97859115444224 |
L(r)(E,1)/r! |
Ω |
0.48929557706711 |
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 |
44770l1 |
Quadratic twists by: -11 |