Atkin-Lehner |
2- 3+ 5- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
120540u |
Isogeny class |
Conductor |
120540 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-1.3956635104209E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 -4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-17353660,27888751192] |
[a1,a2,a3,a4,a6] |
Generators |
[1314:85750:1] |
Generators of the group modulo torsion |
j |
-19189726486510523344/46339625390625 |
j-invariant |
L |
6.7593236331794 |
L(r)(E,1)/r! |
Ω |
0.15226441452886 |
Real period |
R |
0.92483357389816 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999781043 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17220j2 |
Quadratic twists by: -7 |