Atkin-Lehner |
2- 3- 5- 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
28380h |
Isogeny class |
Conductor |
28380 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
72000 |
Modular degree for the optimal curve |
Δ |
-28601718750000 = -1 · 24 · 32 · 510 · 11 · 432 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 11- -4 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3655,244068] |
[a1,a2,a3,a4,a6] |
j |
337401528664064/1787607421875 |
j-invariant |
L |
4.7850490596812 |
L(r)(E,1)/r! |
Ω |
0.47850490596821 |
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 |
113520ba1 85140k1 |
Quadratic twists by: -4 -3 |