Atkin-Lehner |
2+ 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
6720d |
Isogeny class |
Conductor |
6720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
7524679680 = 215 · 38 · 5 · 7 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 4 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1601,-23775] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:12:1] |
Generators of the group modulo torsion |
j |
13858588808/229635 |
j-invariant |
L |
3.2763049153178 |
L(r)(E,1)/r! |
Ω |
0.75546698943318 |
Real period |
R |
2.1683971378922 |
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 |
6720v4 3360m2 20160cc4 33600cz3 |
Quadratic twists by: -4 8 -3 5 |