Atkin-Lehner |
2- 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
21294cp |
Isogeny class |
Conductor |
21294 |
Conductor |
∏ cp |
19 |
Product of Tamagawa factors cp |
deg |
829920 |
Modular degree for the optimal curve |
Δ |
-2182439957568159744 = -1 · 219 · 36 · 7 · 138 |
Discriminant |
Eigenvalues |
2- 3- 3 7- -4 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4754171,3991705579] |
[a1,a2,a3,a4,a6] |
j |
-19983597574473/3670016 |
j-invariant |
L |
4.7953661252305 |
L(r)(E,1)/r! |
Ω |
0.25238769080161 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2366f1 21294u1 |
Quadratic twists by: -3 13 |