Atkin-Lehner |
2- 17+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
112064i |
Isogeny class |
Conductor |
112064 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
38400 |
Modular degree for the optimal curve |
Δ |
-518183936 = -1 · 210 · 173 · 103 |
Discriminant |
Eigenvalues |
2- 0 -3 2 5 -1 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,116,-984] |
[a1,a2,a3,a4,a6] |
j |
168576768/506039 |
j-invariant |
L |
0.8450652899234 |
L(r)(E,1)/r! |
Ω |
0.8450644433351 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112064d1 28016a1 |
Quadratic twists by: -4 8 |