Atkin-Lehner |
2- 3- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
83232bq |
Isogeny class |
Conductor |
83232 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
-3675794136477696 = -1 · 212 · 37 · 177 |
Discriminant |
Eigenvalues |
2- 3- -3 -2 -3 3 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,6936,-2908496] |
[a1,a2,a3,a4,a6] |
Generators |
[476:10404:1] |
Generators of the group modulo torsion |
j |
512/51 |
j-invariant |
L |
3.6996043215035 |
L(r)(E,1)/r! |
Ω |
0.21027107793393 |
Real period |
R |
1.0996532316968 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999875256 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83232q1 27744m1 4896r1 |
Quadratic twists by: -4 -3 17 |