Atkin-Lehner |
2+ 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
2142h |
Isogeny class |
Conductor |
2142 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
512 |
Modular degree for the optimal curve |
Δ |
9716112 = 24 · 36 · 72 · 17 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 0 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-168,-784] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:7:1] |
Generators of the group modulo torsion |
j |
721734273/13328 |
j-invariant |
L |
2.1147773480431 |
L(r)(E,1)/r! |
Ω |
1.3272051220572 |
Real period |
R |
0.79670328003448 |
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 |
17136z1 68544bx1 238c1 53550dp1 |
Quadratic twists by: -4 8 -3 5 |