Atkin-Lehner |
2- 3- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
50568u |
Isogeny class |
Conductor |
50568 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
19114704 = 24 · 34 · 73 · 43 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -4 -4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-79,146] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:6:1] [-5:21:1] |
Generators of the group modulo torsion |
j |
10061824/3483 |
j-invariant |
L |
9.9170012306461 |
L(r)(E,1)/r! |
Ω |
1.9954895683161 |
Real period |
R |
1.2424270950981 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101136h1 50568l1 |
Quadratic twists by: -4 -7 |