Atkin-Lehner |
2+ 3- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
116928cl |
Isogeny class |
Conductor |
116928 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
492197658624 = 214 · 36 · 72 · 292 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -4 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9756,369360] |
[a1,a2,a3,a4,a6] |
Generators |
[-90:720:1] [-27:783:1] |
Generators of the group modulo torsion |
j |
8597884752/41209 |
j-invariant |
L |
10.4964089106 |
L(r)(E,1)/r! |
Ω |
0.93643678924773 |
Real period |
R |
2.802220351213 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999969344 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
116928dv2 14616d2 12992j2 |
Quadratic twists by: -4 8 -3 |