Atkin-Lehner |
2+ 3+ 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
17850a |
Isogeny class |
Conductor |
17850 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1.1700011247E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -4 6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-21097400,37253400000] |
[a1,a2,a3,a4,a6] |
Generators |
[93950:9450175:8] |
Generators of the group modulo torsion |
j |
66464620505913166201729/74880071980801920 |
j-invariant |
L |
2.7933956612919 |
L(r)(E,1)/r! |
Ω |
0.1535565169851 |
Real period |
R |
9.0956597484007 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53550ds4 3570x4 124950df4 |
Quadratic twists by: -3 5 -7 |