Atkin-Lehner |
2- 3- 17+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
126582bc |
Isogeny class |
Conductor |
126582 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-77642642350368 = -1 · 25 · 34 · 177 · 73 |
Discriminant |
Eigenvalues |
2- 3- -2 2 3 -1 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,2306,421988] |
[a1,a2,a3,a4,a6] |
Generators |
[296:5054:1] |
Generators of the group modulo torsion |
j |
56181887/3216672 |
j-invariant |
L |
14.346969053365 |
L(r)(E,1)/r! |
Ω |
0.46503065124149 |
Real period |
R |
0.38564578972519 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000023565 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7446h1 |
Quadratic twists by: 17 |