Atkin-Lehner |
2+ 3- 5- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
127890cn |
Isogeny class |
Conductor |
127890 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
13984771500 = 22 · 39 · 53 · 72 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -2 -2 -4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-639,2673] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:-66:1] [-18:99:1] |
Generators of the group modulo torsion |
j |
808509121/391500 |
j-invariant |
L |
9.3849891046261 |
L(r)(E,1)/r! |
Ω |
1.1150762349151 |
Real period |
R |
0.35068563067151 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000121 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42630da1 127890bb1 |
Quadratic twists by: -3 -7 |