Atkin-Lehner |
2+ 3- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
107712y |
Isogeny class |
Conductor |
107712 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-3.9414597518952E+24 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 11+ 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-47236044,157282685552] |
[a1,a2,a3,a4,a6] |
j |
-60992553706117024753/20624795251201152 |
j-invariant |
L |
5.3216308984347 |
L(r)(E,1)/r! |
Ω |
0.073911547110003 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107712en3 3366j4 35904w3 |
Quadratic twists by: -4 8 -3 |