Atkin-Lehner |
2- 3+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
55104cb |
Isogeny class |
Conductor |
55104 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-18216101151768576 = -1 · 219 · 3 · 710 · 41 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- -4 -1 3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8097,-6496959] |
[a1,a2,a3,a4,a6] |
Generators |
[221:1568:1] |
Generators of the group modulo torsion |
j |
-223980311017/69488911254 |
j-invariant |
L |
3.5136089250898 |
L(r)(E,1)/r! |
Ω |
0.1735652747973 |
Real period |
R |
0.50609330252155 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000023 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55104u1 13776t1 |
Quadratic twists by: -4 8 |