Atkin-Lehner |
11+ 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
87373c |
Isogeny class |
Conductor |
87373 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
-117286631891 = -1 · 11 · 136 · 472 |
Discriminant |
Eigenvalues |
0 3 -3 2 11+ 13+ 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-2704,-56573] |
[a1,a2,a3,a4,a6] |
j |
-452984832/24299 |
j-invariant |
L |
1.3200041357323 |
L(r)(E,1)/r! |
Ω |
0.33000101808478 |
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 |
517b1 |
Quadratic twists by: 13 |