Atkin-Lehner |
2- 29+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
87232k |
Isogeny class |
Conductor |
87232 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2247168 |
Modular degree for the optimal curve |
Δ |
45734690816 = 225 · 29 · 47 |
Discriminant |
Eigenvalues |
2- 0 3 4 0 -5 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-19222316,32438195152] |
[a1,a2,a3,a4,a6] |
j |
2996407859142189227553/174464 |
j-invariant |
L |
1.7159055969258 |
L(r)(E,1)/r! |
Ω |
0.42897643310855 |
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 |
87232c1 21808g1 |
Quadratic twists by: -4 8 |