Atkin-Lehner |
2- 3+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
51984bi |
Isogeny class |
Conductor |
51984 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
48547233792 = 218 · 33 · 193 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 4 6 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2451,-45486] |
[a1,a2,a3,a4,a6] |
j |
2146689/64 |
j-invariant |
L |
2.7190404976149 |
L(r)(E,1)/r! |
Ω |
0.67976012442015 |
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 |
6498b1 51984bf1 51984bj1 |
Quadratic twists by: -4 -3 -19 |