Atkin-Lehner |
2+ 3+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
3264h |
Isogeny class |
Conductor |
3264 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
92408905728 = 226 · 34 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 2 0 4 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2177,36993] |
[a1,a2,a3,a4,a6] |
j |
4354703137/352512 |
j-invariant |
L |
2.0925805934311 |
L(r)(E,1)/r! |
Ω |
1.0462902967155 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3264bc1 102b1 9792k1 81600cn1 |
Quadratic twists by: -4 8 -3 5 |