Atkin-Lehner |
2+ 7- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
44506l |
Isogeny class |
Conductor |
44506 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
3304800 |
Modular degree for the optimal curve |
Δ |
-6.9360854467875E+20 |
Discriminant |
Eigenvalues |
2+ 2 -2 7- 11+ 3 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-9977586,-12200869996] |
[a1,a2,a3,a4,a6] |
Generators |
[645430:182863981:8] |
Generators of the group modulo torsion |
j |
-15747399613705897/99431287648 |
j-invariant |
L |
5.4248594686453 |
L(r)(E,1)/r! |
Ω |
0.042457000149206 |
Real period |
R |
4.2591009331728 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999801 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44506e1 |
Quadratic twists by: 17 |