Atkin-Lehner |
2+ 3- 5- 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
87150bs |
Isogeny class |
Conductor |
87150 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
786240 |
Modular degree for the optimal curve |
Δ |
-13182570450000000 = -1 · 27 · 33 · 58 · 76 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 -1 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-291701,60866048] |
[a1,a2,a3,a4,a6] |
j |
-7027086363930985/33747380352 |
j-invariant |
L |
2.4024031749921 |
L(r)(E,1)/r! |
Ω |
0.40040054347438 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
87150bw1 |
Quadratic twists by: 5 |