Atkin-Lehner |
5+ 13+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
87035b |
Isogeny class |
Conductor |
87035 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
202176 |
Modular degree for the optimal curve |
Δ |
-2100506606575 = -1 · 52 · 138 · 103 |
Discriminant |
Eigenvalues |
1 2 5+ 3 0 13+ -6 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-23663,1392968] |
[a1,a2,a3,a4,a6] |
j |
-1796449369/2575 |
j-invariant |
L |
4.9459205387623 |
L(r)(E,1)/r! |
Ω |
0.82432010334199 |
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 |
87035g1 |
Quadratic twists by: 13 |