Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
6720bm |
Isogeny class |
Conductor |
6720 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
318637670400 = 216 · 34 · 52 · 74 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2721,48321] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:315:1] |
Generators of the group modulo torsion |
j |
34008619684/4862025 |
j-invariant |
L |
3.214614531786 |
L(r)(E,1)/r! |
Ω |
0.92772402103826 |
Real period |
R |
0.86626368911639 |
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 |
6720q3 1680j3 20160fg3 33600gg4 |
Quadratic twists by: -4 8 -3 5 |