Atkin-Lehner |
2- 3+ 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
21660c |
Isogeny class |
Conductor |
21660 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
287280 |
Modular degree for the optimal curve |
Δ |
-60586830656362800 = -1 · 24 · 319 · 52 · 194 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -3 -2 -1 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1877681,991029006] |
[a1,a2,a3,a4,a6] |
j |
-351119534556135424/29056536675 |
j-invariant |
L |
0.66946557864358 |
L(r)(E,1)/r! |
Ω |
0.33473278932179 |
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 |
86640db1 64980bd1 108300bs1 21660x1 |
Quadratic twists by: -4 -3 5 -19 |