Atkin-Lehner |
2- 3- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
21420s |
Isogeny class |
Conductor |
21420 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
12096 |
Modular degree for the optimal curve |
Δ |
-2776032000 = -1 · 28 · 36 · 53 · 7 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -6 5 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,312,-1388] |
[a1,a2,a3,a4,a6] |
Generators |
[53:405:1] |
Generators of the group modulo torsion |
j |
17997824/14875 |
j-invariant |
L |
4.8250428264579 |
L(r)(E,1)/r! |
Ω |
0.79370781522687 |
Real period |
R |
3.039558596937 |
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 |
85680ec1 2380a1 107100z1 |
Quadratic twists by: -4 -3 5 |