Atkin-Lehner |
2+ 3- 17+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
123624b |
Isogeny class |
Conductor |
123624 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
144896 |
Modular degree for the optimal curve |
Δ |
-97091322624 = -1 · 28 · 37 · 17 · 1012 |
Discriminant |
Eigenvalues |
2+ 3- -1 2 -3 -1 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9948,382196] |
[a1,a2,a3,a4,a6] |
Generators |
[58:18:1] [65:101:1] |
Generators of the group modulo torsion |
j |
-583396135936/520251 |
j-invariant |
L |
11.900573915075 |
L(r)(E,1)/r! |
Ω |
1.0598303508811 |
Real period |
R |
0.70179710249538 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000413 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41208e1 |
Quadratic twists by: -3 |