Atkin-Lehner |
3- 7- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
82467bf |
Isogeny class |
Conductor |
82467 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-406713350702043 = -1 · 312 · 72 · 11 · 175 |
Discriminant |
Eigenvalues |
-1 3- 0 7- 11- 6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,18355,-163600] |
[a1,a2,a3,a4,a6] |
Generators |
[10:139:1] |
Generators of the group modulo torsion |
j |
19146326126375/11385833283 |
j-invariant |
L |
4.7258699528512 |
L(r)(E,1)/r! |
Ω |
0.31106302406472 |
Real period |
R |
1.5192644535286 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000348 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27489n1 82467l1 |
Quadratic twists by: -3 -7 |