Atkin-Lehner |
2- 3- 5+ 7+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
87150ci |
Isogeny class |
Conductor |
87150 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-5882625000 = -1 · 23 · 34 · 56 · 7 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 1 -6 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-263,4017] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:79:1] |
Generators of the group modulo torsion |
j |
-128787625/376488 |
j-invariant |
L |
12.199900824523 |
L(r)(E,1)/r! |
Ω |
1.1859557359008 |
Real period |
R |
0.42862409246019 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000046 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3486e1 |
Quadratic twists by: 5 |