Atkin-Lehner |
3+ 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
42891b |
Isogeny class |
Conductor |
42891 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-1.2762570157698E+25 |
Discriminant |
Eigenvalues |
2 3+ 1 -2 3 -1 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,33067840,-155529782035] |
[a1,a2,a3,a4,a6] |
Generators |
[1727076307492523711128220480691829307519146409680:-1314753307803140127030711492429870021700207836294627:2980490265527746135757993542736928875008000] |
Generators of the group modulo torsion |
j |
6722846486548803584/21456068898310251 |
j-invariant |
L |
9.6833152258365 |
L(r)(E,1)/r! |
Ω |
0.036299523009737 |
Real period |
R |
66.690375127238 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128673r2 1479f2 |
Quadratic twists by: -3 29 |