Atkin-Lehner |
2+ 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
16800w |
Isogeny class |
Conductor |
16800 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
17222625000000 = 26 · 39 · 59 · 7 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 2 -2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-22963458,-42362592912] |
[a1,a2,a3,a4,a6] |
Generators |
[135786:16891191:8] |
Generators of the group modulo torsion |
j |
10713357105862263488/137781 |
j-invariant |
L |
5.9387205470537 |
L(r)(E,1)/r! |
Ω |
0.068966824707763 |
Real period |
R |
9.5677572710876 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16800bl1 33600bi2 50400ea1 16800bk1 |
Quadratic twists by: -4 8 -3 5 |