Atkin-Lehner |
2+ 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
36800q |
Isogeny class |
Conductor |
36800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-5750000000000 = -1 · 210 · 512 · 23 |
Discriminant |
Eigenvalues |
2+ -3 5+ 2 0 1 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-18700,991000] |
[a1,a2,a3,a4,a6] |
Generators |
[85:125:1] |
Generators of the group modulo torsion |
j |
-45198971136/359375 |
j-invariant |
L |
3.6582892330573 |
L(r)(E,1)/r! |
Ω |
0.76299365855803 |
Real period |
R |
2.3973261062028 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36800cy1 4600j1 7360f1 |
Quadratic twists by: -4 8 5 |