Atkin-Lehner |
2+ 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
6720y |
Isogeny class |
Conductor |
6720 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
11560550400 = 220 · 32 · 52 · 72 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 4 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1505,21375] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:180:1] |
Generators of the group modulo torsion |
j |
1439069689/44100 |
j-invariant |
L |
5.2182814596312 |
L(r)(E,1)/r! |
Ω |
1.2673482003422 |
Real period |
R |
2.0587402334347 |
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 |
6720bv2 210d2 20160bf2 33600y2 |
Quadratic twists by: -4 8 -3 5 |