Atkin-Lehner |
2+ 3- 5+ 7+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
87150bc |
Isogeny class |
Conductor |
87150 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
290304 |
Modular degree for the optimal curve |
Δ |
-12811050000000 = -1 · 27 · 32 · 58 · 73 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -5 0 -4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,5499,-70352] |
[a1,a2,a3,a4,a6] |
j |
1177249106879/819907200 |
j-invariant |
L |
1.604448421881 |
L(r)(E,1)/r! |
Ω |
0.40111212581314 |
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 |
17430bd1 |
Quadratic twists by: 5 |