Atkin-Lehner |
2+ 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
6720z |
Isogeny class |
Conductor |
6720 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1180139520 = 215 · 3 · 5 · 74 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 4 -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-705,6783] |
[a1,a2,a3,a4,a6] |
Generators |
[53:348:1] |
Generators of the group modulo torsion |
j |
1184287112/36015 |
j-invariant |
L |
5.0472840906944 |
L(r)(E,1)/r! |
Ω |
1.532949324819 |
Real period |
R |
3.2925315983883 |
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 |
6720n3 3360d3 20160bi3 33600z3 |
Quadratic twists by: -4 8 -3 5 |