Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
48510di |
Isogeny class |
Conductor |
48510 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-924558784380 = -1 · 22 · 36 · 5 · 78 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- -2 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1553,-51523] |
[a1,a2,a3,a4,a6] |
Generators |
[35912:199593:512] |
Generators of the group modulo torsion |
j |
-4826809/10780 |
j-invariant |
L |
8.2825896697277 |
L(r)(E,1)/r! |
Ω |
0.3558053112287 |
Real period |
R |
5.8196079487437 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5390q1 6930bj1 |
Quadratic twists by: -3 -7 |