Atkin-Lehner |
3- 7+ 17- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
63189f |
Isogeny class |
Conductor |
63189 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
-235068577443 = -1 · 314 · 72 · 17 · 59 |
Discriminant |
Eigenvalues |
0 3- 0 7+ 5 2 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1200,-28287] |
[a1,a2,a3,a4,a6] |
Generators |
[57:297:1] |
Generators of the group modulo torsion |
j |
-262144000000/322453467 |
j-invariant |
L |
5.2816777968041 |
L(r)(E,1)/r! |
Ω |
0.38748623003078 |
Real period |
R |
3.4076551550145 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995421 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21063c1 |
Quadratic twists by: -3 |