Atkin-Lehner |
2+ 3+ 5- 19+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
73530d |
Isogeny class |
Conductor |
73530 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-130120305660 = -1 · 22 · 33 · 5 · 194 · 432 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 2 4 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-144,-17332] |
[a1,a2,a3,a4,a6] |
j |
-12278428443/4819270580 |
j-invariant |
L |
1.8670917175172 |
L(r)(E,1)/r! |
Ω |
0.46677293232639 |
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 |
73530t1 |
Quadratic twists by: -3 |