Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
44100dp |
Isogeny class |
Conductor |
44100 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
403443833184000 = 28 · 37 · 53 · 78 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -4 -2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-30135,-1766450] |
[a1,a2,a3,a4,a6] |
Generators |
[-105:490:1] |
Generators of the group modulo torsion |
j |
1102736/147 |
j-invariant |
L |
5.3001074587272 |
L(r)(E,1)/r! |
Ω |
0.3655462862862 |
Real period |
R |
1.2082618210875 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000015 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14700bu2 44100do2 6300bf2 |
Quadratic twists by: -3 5 -7 |