Atkin-Lehner |
2- 3+ 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
1680m |
Isogeny class |
Conductor |
1680 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-2613227194368000 = -1 · 214 · 312 · 53 · 74 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 0 2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,30760,-1328400] |
[a1,a2,a3,a4,a6] |
Generators |
[90:1470:1] |
Generators of the group modulo torsion |
j |
785793873833639/637994920500 |
j-invariant |
L |
2.5723360911699 |
L(r)(E,1)/r! |
Ω |
0.25272506696916 |
Real period |
R |
1.6963995182716 |
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 |
210b5 6720bw5 5040bc5 8400cf5 |
Quadratic twists by: -4 8 -3 5 |