Atkin-Lehner |
2- 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
45600bt |
Isogeny class |
Conductor |
45600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
-274597398220800 = -1 · 212 · 3 · 52 · 197 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 3 0 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-22833,1541343] |
[a1,a2,a3,a4,a6] |
Generators |
[-121:1596:1] |
Generators of the group modulo torsion |
j |
-12856765000000/2681615217 |
j-invariant |
L |
8.9615565084961 |
L(r)(E,1)/r! |
Ω |
0.52650710394832 |
Real period |
R |
4.2551925896584 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45600bh1 91200gh1 45600j1 |
Quadratic twists by: -4 8 5 |