Atkin-Lehner |
2- 3- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
2142s |
Isogeny class |
Conductor |
2142 |
Conductor |
∏ cp |
340 |
Product of Tamagawa factors cp |
deg |
16320 |
Modular degree for the optimal curve |
Δ |
-737123641196544 = -1 · 217 · 39 · 75 · 17 |
Discriminant |
Eigenvalues |
2- 3- -1 7- -5 -1 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-131378,18407985] |
[a1,a2,a3,a4,a6] |
Generators |
[-223:6159:1] |
Generators of the group modulo torsion |
j |
-344002044213921241/1011143540736 |
j-invariant |
L |
4.156074869087 |
L(r)(E,1)/r! |
Ω |
0.50835294519744 |
Real period |
R |
0.024045792850111 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17136bd1 68544ch1 714c1 53550y1 |
Quadratic twists by: -4 8 -3 5 |