Atkin-Lehner |
2- 3+ 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
6960z |
Isogeny class |
Conductor |
6960 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
Δ |
-475672500000000 = -1 · 28 · 38 · 510 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 -4 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-84220,9493900] |
[a1,a2,a3,a4,a6] |
Generators |
[165:250:1] |
Generators of the group modulo torsion |
j |
-258068272529292496/1858095703125 |
j-invariant |
L |
3.3523319140906 |
L(r)(E,1)/r! |
Ω |
0.52817551117855 |
Real period |
R |
1.2694007363614 |
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 |
1740f2 27840ds2 20880cb2 34800cx2 |
Quadratic twists by: -4 8 -3 5 |