Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
6720ck |
Isogeny class |
Conductor |
6720 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
17702092800 = 215 · 32 · 52 · 74 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9665,362463] |
[a1,a2,a3,a4,a6] |
Generators |
[-69:840:1] |
Generators of the group modulo torsion |
j |
3047363673992/540225 |
j-invariant |
L |
5.1975759408198 |
L(r)(E,1)/r! |
Ω |
1.1913042703502 |
Real period |
R |
1.0907322482971 |
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 |
6720bo3 3360n3 20160dz3 33600ec4 |
Quadratic twists by: -4 8 -3 5 |