Atkin-Lehner |
2- 5+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
11440i |
Isogeny class |
Conductor |
11440 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-294832046080 = -1 · 218 · 5 · 113 · 132 |
Discriminant |
Eigenvalues |
2- 2 5+ 4 11+ 13- -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1664,0] |
[a1,a2,a3,a4,a6] |
Generators |
[2106:96642:1] |
Generators of the group modulo torsion |
j |
124326214271/71980480 |
j-invariant |
L |
6.6207181976394 |
L(r)(E,1)/r! |
Ω |
0.5822260229866 |
Real period |
R |
5.6856941602144 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1430g1 45760bw1 102960ew1 57200bf1 |
Quadratic twists by: -4 8 -3 5 |