Atkin-Lehner |
2+ 3+ 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
87984c |
Isogeny class |
Conductor |
87984 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
353280 |
Modular degree for the optimal curve |
Δ |
-703454260414464 = -1 · 211 · 39 · 135 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 3 -3 0 13- 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-36531,-2975022] |
[a1,a2,a3,a4,a6] |
j |
-133747954758/17450771 |
j-invariant |
L |
3.4283460735768 |
L(r)(E,1)/r! |
Ω |
0.17141730159122 |
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 |
43992b1 87984d1 |
Quadratic twists by: -4 -3 |