Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
6720s |
Isogeny class |
Conductor |
6720 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
27095040000 = 215 · 33 · 54 · 72 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-56481,5147775] |
[a1,a2,a3,a4,a6] |
Generators |
[141:84:1] |
Generators of the group modulo torsion |
j |
608119035935048/826875 |
j-invariant |
L |
4.6979685938773 |
L(r)(E,1)/r! |
Ω |
1.0062682256337 |
Real period |
R |
0.77811735052365 |
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 |
6720a3 3360g3 20160cf3 33600a4 |
Quadratic twists by: -4 8 -3 5 |