Atkin-Lehner |
3- 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
84525bs |
Isogeny class |
Conductor |
84525 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
89856 |
Modular degree for the optimal curve |
Δ |
-178294921875 = -1 · 34 · 59 · 72 · 23 |
Discriminant |
Eigenvalues |
0 3- 5+ 7- 4 0 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-6533,202094] |
[a1,a2,a3,a4,a6] |
Generators |
[88:562:1] |
Generators of the group modulo torsion |
j |
-40282095616/232875 |
j-invariant |
L |
7.0752636678585 |
L(r)(E,1)/r! |
Ω |
1.0193432646802 |
Real period |
R |
0.43381262672446 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001275 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16905g1 84525b1 |
Quadratic twists by: 5 -7 |