Atkin-Lehner |
13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
48841a |
Isogeny class |
Conductor |
48841 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
1980626399884457 = 136 · 177 |
Discriminant |
Eigenvalues |
1 0 -2 4 0 13+ 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-33578,1020319] |
[a1,a2,a3,a4,a6] |
Generators |
[1254:43301:1] |
Generators of the group modulo torsion |
j |
35937/17 |
j-invariant |
L |
6.0677282647231 |
L(r)(E,1)/r! |
Ω |
0.41627138414254 |
Real period |
R |
3.6440940308831 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999967 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
289a1 2873a1 |
Quadratic twists by: 13 17 |