Atkin-Lehner |
2+ 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
16800bc |
Isogeny class |
Conductor |
16800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
2625000000 = 26 · 3 · 59 · 7 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -6 6 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3458,77088] |
[a1,a2,a3,a4,a6] |
Generators |
[282:123:8] |
Generators of the group modulo torsion |
j |
36594368/21 |
j-invariant |
L |
5.6874174427267 |
L(r)(E,1)/r! |
Ω |
1.4239294179796 |
Real period |
R |
3.99417089844 |
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 |
16800bp1 33600bv2 50400ef1 16800bq1 |
Quadratic twists by: -4 8 -3 5 |