Atkin-Lehner |
2+ 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
71400bt |
Isogeny class |
Conductor |
71400 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
Δ |
3.9000037490001E+23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-52375008,142747981488] |
[a1,a2,a3,a4,a6] |
Generators |
[4788:42000:1] |
Generators of the group modulo torsion |
j |
993061270514775420004/24375023431250625 |
j-invariant |
L |
9.2846947377499 |
L(r)(E,1)/r! |
Ω |
0.094786873111021 |
Real period |
R |
3.0610431697101 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001379 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
14280bk3 |
Quadratic twists by: 5 |