Atkin-Lehner |
2- 3- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
50568t |
Isogeny class |
Conductor |
50568 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
221027451128064 = 28 · 34 · 78 · 432 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-26084,-1463904] |
[a1,a2,a3,a4,a6] |
Generators |
[-116:120:1] [-110:294:1] |
Generators of the group modulo torsion |
j |
65168050768/7338681 |
j-invariant |
L |
10.176610762863 |
L(r)(E,1)/r! |
Ω |
0.37841985927724 |
Real period |
R |
3.3615475355538 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
101136g2 7224h2 |
Quadratic twists by: -4 -7 |