Atkin-Lehner |
2+ 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
71400bt |
Isogeny class |
Conductor |
71400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
24990000000000 = 210 · 3 · 510 · 72 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-833000008,9253426731488] |
[a1,a2,a3,a4,a6] |
Generators |
[472773094295:11295228:28372625] |
Generators of the group modulo torsion |
j |
3995202039648020399520004/1561875 |
j-invariant |
L |
9.2846947377499 |
L(r)(E,1)/r! |
Ω |
0.18957374622204 |
Real period |
R |
12.244172678837 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001382 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14280bk4 |
Quadratic twists by: 5 |