Atkin-Lehner |
2- 5+ 7+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
73150bb |
Isogeny class |
Conductor |
73150 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
1351680 |
Modular degree for the optimal curve |
Δ |
197833180160000000 = 216 · 57 · 75 · 112 · 19 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ 11+ 0 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-855063,303220781] |
[a1,a2,a3,a4,a6] |
j |
4424844982155048361/12661323530240 |
j-invariant |
L |
5.1031184974619 |
L(r)(E,1)/r! |
Ω |
0.31894490636624 |
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 |
14630k1 |
Quadratic twists by: 5 |