Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
6720m |
Isogeny class |
Conductor |
6720 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
2389782528000 = 215 · 35 · 53 · 74 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1296065,-567489663] |
[a1,a2,a3,a4,a6] |
Generators |
[1744:49735:1] |
Generators of the group modulo torsion |
j |
7347751505995469192/72930375 |
j-invariant |
L |
4.0451469615341 |
L(r)(E,1)/r! |
Ω |
0.14149556619528 |
Real period |
R |
4.7647511394471 |
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 |
6720ba4 3360u2 20160bt4 33600ck4 |
Quadratic twists by: -4 8 -3 5 |