Atkin-Lehner |
2+ 3- 5+ 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
87150bk |
Isogeny class |
Conductor |
87150 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
3939840 |
Modular degree for the optimal curve |
Δ |
-1281105000000 = -1 · 26 · 32 · 57 · 73 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -2 4 -5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-40272151,98364984698] |
[a1,a2,a3,a4,a6] |
Generators |
[3663:-1748:1] |
Generators of the group modulo torsion |
j |
-462293886638864253441889/81990720 |
j-invariant |
L |
6.018744790955 |
L(r)(E,1)/r! |
Ω |
0.3459366155063 |
Real period |
R |
0.72493347540793 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000264 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17430t1 |
Quadratic twists by: 5 |