Atkin-Lehner |
2- 3- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
3366p |
Isogeny class |
Conductor |
3366 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
1280 |
Modular degree for the optimal curve |
Δ |
1535542272 = 210 · 36 · 112 · 17 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 11- -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-290,289] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:47:1] |
Generators of the group modulo torsion |
j |
3687953625/2106368 |
j-invariant |
L |
4.8035115706975 |
L(r)(E,1)/r! |
Ω |
1.2915383923918 |
Real period |
R |
0.37192170197914 |
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 |
26928bh1 107712bf1 374a1 84150ci1 |
Quadratic twists by: -4 8 -3 5 |