Atkin-Lehner |
3- 11+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
3333d |
Isogeny class |
Conductor |
3333 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
279577280592078381 = 328 · 112 · 101 |
Discriminant |
Eigenvalues |
0 3- -1 4 11+ -1 -3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-2777431,-1782356096] |
[a1,a2,a3,a4,a6] |
Generators |
[2066:36085:1] |
Generators of the group modulo torsion |
j |
2369483583201884848881664/279577280592078381 |
j-invariant |
L |
3.5305483458567 |
L(r)(E,1)/r! |
Ω |
0.1169477301093 |
Real period |
R |
0.53909131983226 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53328o1 9999j1 83325f1 36663f1 |
Quadratic twists by: -4 -3 5 -11 |