Atkin-Lehner |
3+ 5+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
87285a |
Isogeny class |
Conductor |
87285 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
114816 |
Modular degree for the optimal curve |
Δ |
-2551275522675 = -1 · 313 · 52 · 112 · 232 |
Discriminant |
Eigenvalues |
0 3+ 5+ -1 11+ 5 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,1089,-75958] |
[a1,a2,a3,a4,a6] |
j |
269744635904/4822827075 |
j-invariant |
L |
1.5827646625967 |
L(r)(E,1)/r! |
Ω |
0.39569116305068 |
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 |
87285n1 |
Quadratic twists by: -23 |