Atkin-Lehner |
3+ 5+ 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
32025d |
Isogeny class |
Conductor |
32025 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
4.5484048314393E+28 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7+ 0 -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3189333188,68561395422656] |
[a1,a2,a3,a4,a6] |
j |
229616642609954489617939242361/2910979092121124267578125 |
j-invariant |
L |
1.1535965201557 |
L(r)(E,1)/r! |
Ω |
0.036049891254947 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
96075v4 6405l3 |
Quadratic twists by: -3 5 |