Atkin-Lehner |
2+ 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
42944j |
Isogeny class |
Conductor |
42944 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
19968 |
Modular degree for the optimal curve |
Δ |
2660466688 = 215 · 113 · 61 |
Discriminant |
Eigenvalues |
2+ 1 0 -2 11- -5 5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2113,36607] |
[a1,a2,a3,a4,a6] |
Generators |
[21:44:1] |
Generators of the group modulo torsion |
j |
31855013000/81191 |
j-invariant |
L |
5.5999614281411 |
L(r)(E,1)/r! |
Ω |
1.4434198748631 |
Real period |
R |
0.64660804589455 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999956 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42944e1 21472a1 |
Quadratic twists by: -4 8 |