Atkin-Lehner |
2+ 3- 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
87984g |
Isogeny class |
Conductor |
87984 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
152640 |
Modular degree for the optimal curve |
Δ |
-251886226176 = -1 · 28 · 36 · 13 · 473 |
Discriminant |
Eigenvalues |
2+ 3- -2 -2 1 13+ -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-27156,1722620] |
[a1,a2,a3,a4,a6] |
j |
-11867346377728/1349699 |
j-invariant |
L |
0.94642304006826 |
L(r)(E,1)/r! |
Ω |
0.94642296538385 |
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 |
43992e1 9776a1 |
Quadratic twists by: -4 -3 |