Atkin-Lehner |
2+ 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
6720bd |
Isogeny class |
Conductor |
6720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1024 |
Modular degree for the optimal curve |
Δ |
-2903040 = -1 · 210 · 34 · 5 · 7 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 4 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,35,35] |
[a1,a2,a3,a4,a6] |
j |
4499456/2835 |
j-invariant |
L |
3.1548719920365 |
L(r)(E,1)/r! |
Ω |
1.5774359960182 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6720bq1 840e1 20160bu1 33600j1 |
Quadratic twists by: -4 8 -3 5 |