Atkin-Lehner |
2- 3- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
2142q |
Isogeny class |
Conductor |
2142 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
-456941440843776 = -1 · 214 · 314 · 73 · 17 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 6 0 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-30011,-2242389] |
[a1,a2,a3,a4,a6] |
j |
-4100379159705193/626805817344 |
j-invariant |
L |
2.5178671687363 |
L(r)(E,1)/r! |
Ω |
0.17984765490973 |
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 |
17136bq1 68544bp1 714a1 53550bt1 |
Quadratic twists by: -4 8 -3 5 |