Atkin-Lehner |
2- 3- 5- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
45540u |
Isogeny class |
Conductor |
45540 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
Δ |
-950520425184000 = -1 · 28 · 36 · 53 · 116 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 11- -4 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14952,1641796] |
[a1,a2,a3,a4,a6] |
Generators |
[-43:1485:1] |
Generators of the group modulo torsion |
j |
-1980861374464/5093237875 |
j-invariant |
L |
5.9305677384241 |
L(r)(E,1)/r! |
Ω |
0.438213721296 |
Real period |
R |
1.1277921118949 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
5060b2 |
Quadratic twists by: -3 |