Atkin-Lehner |
2+ 3- 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
59094r |
Isogeny class |
Conductor |
59094 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
268050384 = 24 · 36 · 73 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- -2 1 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-954,11556] |
[a1,a2,a3,a4,a6] |
Generators |
[16:6:1] |
Generators of the group modulo torsion |
j |
384240583/1072 |
j-invariant |
L |
5.0489321880069 |
L(r)(E,1)/r! |
Ω |
1.7485053620898 |
Real period |
R |
0.72189258001496 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999422 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6566j1 59094t1 |
Quadratic twists by: -3 -7 |