Atkin-Lehner |
2- 7- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
81928p |
Isogeny class |
Conductor |
81928 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
467712 |
Modular degree for the optimal curve |
Δ |
-120908445779968 = -1 · 211 · 710 · 11 · 19 |
Discriminant |
Eigenvalues |
2- -2 -4 7- 11+ -2 8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-800,-529376] |
[a1,a2,a3,a4,a6] |
Generators |
[1631227:44417372:2197] |
Generators of the group modulo torsion |
j |
-98/209 |
j-invariant |
L |
3.1487498087613 |
L(r)(E,1)/r! |
Ω |
0.26666647675866 |
Real period |
R |
11.807820205769 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999882143 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81928j1 |
Quadratic twists by: -7 |