Atkin-Lehner |
3+ 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
987c |
Isogeny class |
Conductor |
987 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
288 |
Modular degree for the optimal curve |
Δ |
-435267 = -1 · 33 · 73 · 47 |
Discriminant |
Eigenvalues |
2 3+ 0 7+ 3 6 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-208,1227] |
[a1,a2,a3,a4,a6] |
j |
-1000000000000/435267 |
j-invariant |
L |
2.9294495045094 |
L(r)(E,1)/r! |
Ω |
2.9294495045094 |
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 |
15792be1 63168bb1 2961g1 24675s1 |
Quadratic twists by: -4 8 -3 5 |