Atkin-Lehner |
5+ 13+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
87035d |
Isogeny class |
Conductor |
87035 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
31488 |
Modular degree for the optimal curve |
Δ |
-10879375 = -1 · 54 · 132 · 103 |
Discriminant |
Eigenvalues |
-1 2 5+ 5 6 13+ 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-36,164] |
[a1,a2,a3,a4,a6] |
j |
-30584281/64375 |
j-invariant |
L |
4.047065007649 |
L(r)(E,1)/r! |
Ω |
2.0235325032418 |
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 |
87035f1 |
Quadratic twists by: 13 |