Atkin-Lehner |
2- 3- 17+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
32436h |
Isogeny class |
Conductor |
32436 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
201600 |
Modular degree for the optimal curve |
Δ |
1032982125979392 = 28 · 313 · 17 · 533 |
Discriminant |
Eigenvalues |
2- 3- -4 -3 -2 1 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-42087,2941630] |
[a1,a2,a3,a4,a6] |
Generators |
[-226:954:1] [-85:2430:1] |
Generators of the group modulo torsion |
j |
44177397542224/5535097983 |
j-invariant |
L |
6.2760674696103 |
L(r)(E,1)/r! |
Ω |
0.47512775761167 |
Real period |
R |
0.36692280064937 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129744bp1 10812f1 |
Quadratic twists by: -4 -3 |