Atkin-Lehner |
2- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
21280s |
Isogeny class |
Conductor |
21280 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2816 |
Modular degree for the optimal curve |
Δ |
-2723840 = -1 · 212 · 5 · 7 · 19 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- -2 -4 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1,79] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:8:1] |
Generators of the group modulo torsion |
j |
-64/665 |
j-invariant |
L |
5.2117510295 |
L(r)(E,1)/r! |
Ω |
2.0440192058902 |
Real period |
R |
1.2748781945105 |
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 |
21280a1 42560bt1 106400a1 |
Quadratic twists by: -4 8 5 |