Atkin-Lehner |
2+ 7- 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
72842j |
Isogeny class |
Conductor |
72842 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2125728 |
Modular degree for the optimal curve |
Δ |
-111923514643060736 = -1 · 211 · 72 · 1110 · 43 |
Discriminant |
Eigenvalues |
2+ -3 -3 7- 11- -6 -1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-17386,-16115852] |
[a1,a2,a3,a4,a6] |
j |
-22408353/4315136 |
j-invariant |
L |
0.29713407069734 |
L(r)(E,1)/r! |
Ω |
0.14856702475972 |
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 |
72842l1 |
Quadratic twists by: -11 |