Atkin-Lehner |
13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
5239b |
Isogeny class |
Conductor |
5239 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
12168 |
Modular degree for the optimal curve |
Δ |
-132482010666889 = -1 · 1310 · 312 |
Discriminant |
Eigenvalues |
-1 0 3 -2 0 13+ 5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-19636,1200008] |
[a1,a2,a3,a4,a6] |
j |
-6073353/961 |
j-invariant |
L |
1.1274613834475 |
L(r)(E,1)/r! |
Ω |
0.56373069172375 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83824l1 47151c1 5239a1 |
Quadratic twists by: -4 -3 13 |