Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
6720ck |
Isogeny class |
Conductor |
6720 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-806400000000 = -1 · 215 · 32 · 58 · 7 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1855,30975] |
[a1,a2,a3,a4,a6] |
Generators |
[10:225:1] |
Generators of the group modulo torsion |
j |
21531355768/24609375 |
j-invariant |
L |
5.1975759408198 |
L(r)(E,1)/r! |
Ω |
0.59565213517509 |
Real period |
R |
1.0907322482971 |
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 |
6720bo4 3360n4 20160dz4 33600ec3 |
Quadratic twists by: -4 8 -3 5 |