Atkin-Lehner |
2- 3- 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
127890es |
Isogeny class |
Conductor |
127890 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
2488320 |
Modular degree for the optimal curve |
Δ |
-530706155923560960 = -1 · 29 · 311 · 5 · 79 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -1 -6 1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-383018,97834601] |
[a1,a2,a3,a4,a6] |
Generators |
[-717:2221:1] [-383:13911:1] |
Generators of the group modulo torsion |
j |
-72454344765769/6187829760 |
j-invariant |
L |
16.526735112454 |
L(r)(E,1)/r! |
Ω |
0.2865775451819 |
Real period |
R |
0.40048146048239 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42630bx1 18270bu1 |
Quadratic twists by: -3 -7 |