Atkin-Lehner |
3- 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
71487l |
Isogeny class |
Conductor |
71487 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
136416 |
Modular degree for the optimal curve |
Δ |
-2149952437971 = -1 · 36 · 137 · 47 |
Discriminant |
Eigenvalues |
2 3- -2 -2 -3 13+ -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1521,-74149] |
[a1,a2,a3,a4,a6] |
j |
-110592/611 |
j-invariant |
L |
0.68674471981503 |
L(r)(E,1)/r! |
Ω |
0.34337236534052 |
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 |
7943c1 5499j1 |
Quadratic twists by: -3 13 |