Atkin-Lehner |
2+ 3+ 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
6720i |
Isogeny class |
Conductor |
6720 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1959472413971251200 = 216 · 320 · 52 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 0 -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-810465,272909025] |
[a1,a2,a3,a4,a6] |
j |
898353183174324196/29899176238575 |
j-invariant |
L |
1.0439849765106 |
L(r)(E,1)/r! |
Ω |
0.26099624412765 |
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 |
6720cl3 840d3 20160y3 33600cs4 |
Quadratic twists by: -4 8 -3 5 |