Atkin-Lehner |
2- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
20216l |
Isogeny class |
Conductor |
20216 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5184 |
Modular degree for the optimal curve |
Δ |
283024 = 24 · 72 · 192 |
Discriminant |
Eigenvalues |
2- -3 -3 7- -4 3 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-19,19] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:7:1] [-2:7:1] |
Generators of the group modulo torsion |
j |
131328/49 |
j-invariant |
L |
4.1091470432751 |
L(r)(E,1)/r! |
Ω |
2.8185227021488 |
Real period |
R |
0.36447702196465 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999981 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40432g1 20216d1 |
Quadratic twists by: -4 -19 |