Atkin-Lehner |
2+ 3+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
81144i |
Isogeny class |
Conductor |
81144 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
1838592 |
Modular degree for the optimal curve |
Δ |
-3362653987217150976 = -1 · 210 · 39 · 72 · 237 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7- 0 3 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2122659,1193598126] |
[a1,a2,a3,a4,a6] |
Generators |
[807:-2484:1] |
Generators of the group modulo torsion |
j |
-1070969436979596/3404825447 |
j-invariant |
L |
5.1589442926862 |
L(r)(E,1)/r! |
Ω |
0.25199577025621 |
Real period |
R |
0.73115517066685 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002392 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81144bc1 81144b1 |
Quadratic twists by: -3 -7 |