Atkin-Lehner |
2+ 3- 5+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
21450z |
Isogeny class |
Conductor |
21450 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
2519337249000000 = 26 · 36 · 56 · 112 · 134 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 11+ 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-34676,584498] |
[a1,a2,a3,a4,a6] |
Generators |
[-87:1759:1] |
Generators of the group modulo torsion |
j |
295102348042033/161237583936 |
j-invariant |
L |
3.5922112564075 |
L(r)(E,1)/r! |
Ω |
0.39805922517651 |
Real period |
R |
0.37601306426351 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
64350es2 858e2 |
Quadratic twists by: -3 5 |