Atkin-Lehner |
2+ 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
36800k |
Isogeny class |
Conductor |
36800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-2875000000 = -1 · 26 · 59 · 23 |
Discriminant |
Eigenvalues |
2+ 2 5+ 1 2 -4 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-783,-8563] |
[a1,a2,a3,a4,a6] |
Generators |
[4426:103875:8] |
Generators of the group modulo torsion |
j |
-53157376/2875 |
j-invariant |
L |
8.8412911022361 |
L(r)(E,1)/r! |
Ω |
0.44980004471413 |
Real period |
R |
4.9140119071434 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36800be1 18400p1 7360e1 |
Quadratic twists by: -4 8 5 |