Atkin-Lehner |
2- 3+ 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
21660b |
Isogeny class |
Conductor |
21660 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
4800 |
Modular degree for the optimal curve |
Δ |
1646160 = 24 · 3 · 5 · 193 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 -6 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-101,-354] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:1:1] [19:65:1] |
Generators of the group modulo torsion |
j |
1048576/15 |
j-invariant |
L |
5.9157975142223 |
L(r)(E,1)/r! |
Ω |
1.5060439731054 |
Real period |
R |
2.6186918044295 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86640cx1 64980bb1 108300bp1 21660t1 |
Quadratic twists by: -4 -3 5 -19 |