Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
6720m |
Isogeny class |
Conductor |
6720 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
185177664000000 = 212 · 310 · 56 · 72 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-81065,-8832663] |
[a1,a2,a3,a4,a6] |
Generators |
[-161:140:1] |
Generators of the group modulo torsion |
j |
14383655824793536/45209390625 |
j-invariant |
L |
4.0451469615341 |
L(r)(E,1)/r! |
Ω |
0.28299113239056 |
Real period |
R |
2.3823755697236 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6720ba2 3360u1 20160bt2 33600ck2 |
Quadratic twists by: -4 8 -3 5 |