Atkin-Lehner |
2- 3- 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
87204n |
Isogeny class |
Conductor |
87204 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-428388952368 = -1 · 24 · 3 · 136 · 432 |
Discriminant |
Eigenvalues |
2- 3- 0 0 2 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2253,-52584] |
[a1,a2,a3,a4,a6] |
j |
-16384000/5547 |
j-invariant |
L |
2.7250688814746 |
L(r)(E,1)/r! |
Ω |
0.34063362031462 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
516c1 |
Quadratic twists by: 13 |