Atkin-Lehner |
3+ 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
9225b |
Isogeny class |
Conductor |
9225 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
-432421875 = -1 · 33 · 58 · 41 |
Discriminant |
Eigenvalues |
0 3+ 5+ 2 3 -4 5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1200,16031] |
[a1,a2,a3,a4,a6] |
Generators |
[15:37:1] |
Generators of the group modulo torsion |
j |
-452984832/1025 |
j-invariant |
L |
3.8981697731501 |
L(r)(E,1)/r! |
Ω |
1.6781430265333 |
Real period |
R |
0.58072668889297 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9225f1 1845a1 |
Quadratic twists by: -3 5 |