Atkin-Lehner |
2- 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
33440x |
Isogeny class |
Conductor |
33440 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
1691328320 = 26 · 5 · 114 · 192 |
Discriminant |
Eigenvalues |
2- 0 5+ 2 11- 4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-773,8032] |
[a1,a2,a3,a4,a6] |
Generators |
[12:22:1] |
Generators of the group modulo torsion |
j |
798145776576/26427005 |
j-invariant |
L |
5.8713520466654 |
L(r)(E,1)/r! |
Ω |
1.4859093278183 |
Real period |
R |
0.98783821070802 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33440s1 66880dc2 |
Quadratic twists by: -4 8 |