Atkin-Lehner |
5- 7- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
80465q |
Isogeny class |
Conductor |
80465 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
36288 |
Modular degree for the optimal curve |
Δ |
-1084265875 = -1 · 53 · 73 · 113 · 19 |
Discriminant |
Eigenvalues |
2 0 5- 7- 11+ -1 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,253,-333] |
[a1,a2,a3,a4,a6] |
Generators |
[66:381:8] |
Generators of the group modulo torsion |
j |
1345572864/814625 |
j-invariant |
L |
13.554851200557 |
L(r)(E,1)/r! |
Ω |
0.90093585640079 |
Real period |
R |
0.83585005901306 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002394 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80465h1 |
Quadratic twists by: -11 |