Atkin-Lehner |
2- 3+ 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
87204c |
Isogeny class |
Conductor |
87204 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
505440 |
Modular degree for the optimal curve |
Δ |
-409131374578992 = -1 · 24 · 36 · 138 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 2 2 3 13+ 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-187477,31321978] |
[a1,a2,a3,a4,a6] |
j |
-55834574848/31347 |
j-invariant |
L |
4.2045091940276 |
L(r)(E,1)/r! |
Ω |
0.5255636450322 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87204e1 |
Quadratic twists by: 13 |