Atkin-Lehner |
2- 3- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
107712em |
Isogeny class |
Conductor |
107712 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
351978424571068416 = 216 · 312 · 112 · 174 |
Discriminant |
Eigenvalues |
2- 3- 2 4 11- -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1030764,401785040] |
[a1,a2,a3,a4,a6] |
j |
2535093488117092/7367303889 |
j-invariant |
L |
4.8642679308107 |
L(r)(E,1)/r! |
Ω |
0.30401672708584 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
107712z2 26928j2 35904bv2 |
Quadratic twists by: -4 8 -3 |