Atkin-Lehner |
2+ 3+ 5+ 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
87150k |
Isogeny class |
Conductor |
87150 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
135360 |
Modular degree for the optimal curve |
Δ |
-953203125000 = -1 · 23 · 3 · 510 · 72 · 83 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 5 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1575,52125] |
[a1,a2,a3,a4,a6] |
j |
-44289025/97608 |
j-invariant |
L |
1.5654655130314 |
L(r)(E,1)/r! |
Ω |
0.78273277072 |
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 |
87150cx1 |
Quadratic twists by: 5 |