Atkin-Lehner |
2- 7+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
44506t |
Isogeny class |
Conductor |
44506 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
205632 |
Modular degree for the optimal curve |
Δ |
-15131709587456 = -1 · 214 · 74 · 113 · 172 |
Discriminant |
Eigenvalues |
2- -3 1 7+ 11- 4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-28572,1875423] |
[a1,a2,a3,a4,a6] |
Generators |
[293:-4459:1] |
Generators of the group modulo torsion |
j |
-8925520332280689/52358856704 |
j-invariant |
L |
6.0472398992489 |
L(r)(E,1)/r! |
Ω |
0.70403455443575 |
Real period |
R |
0.10225485486157 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000024 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44506w1 |
Quadratic twists by: 17 |