Atkin-Lehner |
2+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
20216f |
Isogeny class |
Conductor |
20216 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
13868176 = 24 · 74 · 192 |
Discriminant |
Eigenvalues |
2+ -1 -1 7- -4 1 7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-196,1109] |
[a1,a2,a3,a4,a6] |
Generators |
[10:7:1] |
Generators of the group modulo torsion |
j |
144903424/2401 |
j-invariant |
L |
3.6175446533509 |
L(r)(E,1)/r! |
Ω |
2.2341978918526 |
Real period |
R |
0.20239616343649 |
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 |
40432e1 20216j1 |
Quadratic twists by: -4 -19 |