Atkin-Lehner |
2- 3- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
116928eu |
Isogeny class |
Conductor |
116928 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-994245331968 = -1 · 210 · 314 · 7 · 29 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 0 -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1464,-42856] |
[a1,a2,a3,a4,a6] |
Generators |
[86:848:1] |
Generators of the group modulo torsion |
j |
464857088/1331883 |
j-invariant |
L |
3.6290208912987 |
L(r)(E,1)/r! |
Ω |
0.4509329388541 |
Real period |
R |
4.0239030760957 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000032414 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116928bo1 29232i1 38976bh1 |
Quadratic twists by: -4 8 -3 |