Atkin-Lehner |
2+ 3- 5- 7- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
117810bz |
Isogeny class |
Conductor |
117810 |
Conductor |
∏ cp |
864 |
Product of Tamagawa factors cp |
Δ |
869073464475562500 = 22 · 37 · 56 · 76 · 11 · 173 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11+ -4 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-287649,38985705] |
[a1,a2,a3,a4,a6] |
Generators |
[1464:-53211:1] |
Generators of the group modulo torsion |
j |
3610652051956028689/1192144670062500 |
j-invariant |
L |
5.3296054405601 |
L(r)(E,1)/r! |
Ω |
0.25903809134612 |
Real period |
R |
0.8572750474217 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000059167 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
39270cm3 |
Quadratic twists by: -3 |