Atkin-Lehner |
2+ 3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
129360cv |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-4.4311287006525E+23 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11+ -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-29804560,70332488708] |
[a1,a2,a3,a4,a6] |
j |
-24304331176056594436/3678122314453125 |
j-invariant |
L |
2.1781792780309 |
L(r)(E,1)/r! |
Ω |
0.090757498732628 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64680ch3 18480c4 |
Quadratic twists by: -4 -7 |