Atkin-Lehner |
2+ 3- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
107712y |
Isogeny class |
Conductor |
107712 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1.0731019692255E+21 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 11+ 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-50553804,138340930160] |
[a1,a2,a3,a4,a6] |
j |
74768347616680342513/5615307472896 |
j-invariant |
L |
5.3216308984347 |
L(r)(E,1)/r! |
Ω |
0.14782309422001 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
107712en2 3366j2 35904w2 |
Quadratic twists by: -4 8 -3 |