Atkin-Lehner |
2- 3- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
55488dw |
Isogeny class |
Conductor |
55488 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
940032 |
Modular degree for the optimal curve |
Δ |
-222952797438455808 = -1 · 212 · 33 · 1710 |
Discriminant |
Eigenvalues |
2- 3- -2 5 -2 1 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-779529,265621527] |
[a1,a2,a3,a4,a6] |
Generators |
[513:996:1] |
Generators of the group modulo torsion |
j |
-6344128/27 |
j-invariant |
L |
7.9762231264066 |
L(r)(E,1)/r! |
Ω |
0.3162520505601 |
Real period |
R |
4.2035158941405 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998784 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55488ct1 27744q1 55488de1 |
Quadratic twists by: -4 8 17 |