Atkin-Lehner |
2- 3- 7+ 19+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
126882bi |
Isogeny class |
Conductor |
126882 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
573440 |
Modular degree for the optimal curve |
Δ |
-21216586825728 = -1 · 216 · 38 · 72 · 19 · 53 |
Discriminant |
Eigenvalues |
2- 3- -4 7+ -4 -4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3677,238565] |
[a1,a2,a3,a4,a6] |
Generators |
[15:424:1] [-45:580:1] |
Generators of the group modulo torsion |
j |
-7539913083529/29103685632 |
j-invariant |
L |
12.843675750373 |
L(r)(E,1)/r! |
Ω |
0.59456949536725 |
Real period |
R |
0.67505122584595 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000001248 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42294i1 |
Quadratic twists by: -3 |