Atkin-Lehner |
2- 11+ 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
86768h |
Isogeny class |
Conductor |
86768 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
451584 |
Modular degree for the optimal curve |
Δ |
-1156937823551488 = -1 · 226 · 112 · 173 · 29 |
Discriminant |
Eigenvalues |
2- 2 -2 3 11+ -5 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-48144,-4366912] |
[a1,a2,a3,a4,a6] |
Generators |
[1202:40902:1] |
Generators of the group modulo torsion |
j |
-3013001140430737/282455523328 |
j-invariant |
L |
8.8696622203084 |
L(r)(E,1)/r! |
Ω |
0.16029638458283 |
Real period |
R |
4.6110741642469 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010647 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10846g1 |
Quadratic twists by: -4 |