Atkin-Lehner |
2- 3- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
81144ca |
Isogeny class |
Conductor |
81144 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-1472553524026368 = -1 · 210 · 312 · 76 · 23 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 2 2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-28371,-2606114] |
[a1,a2,a3,a4,a6] |
Generators |
[109715:36341136:1] |
Generators of the group modulo torsion |
j |
-28756228/16767 |
j-invariant |
L |
5.6032710643 |
L(r)(E,1)/r! |
Ω |
0.17912506874267 |
Real period |
R |
7.8203334441741 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002118 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27048g1 1656h1 |
Quadratic twists by: -3 -7 |