Atkin-Lehner |
3+ 5- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
84525bc |
Isogeny class |
Conductor |
84525 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-35515291875 = -1 · 3 · 54 · 77 · 23 |
Discriminant |
Eigenvalues |
2 3+ 5- 7- 0 4 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-408,9743] |
[a1,a2,a3,a4,a6] |
Generators |
[26:731:8] |
Generators of the group modulo torsion |
j |
-102400/483 |
j-invariant |
L |
11.209480829053 |
L(r)(E,1)/r! |
Ω |
1.0073839090976 |
Real period |
R |
1.854552953564 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004562 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84525cq1 12075u1 |
Quadratic twists by: 5 -7 |