Atkin-Lehner |
2- 3- 5- 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
57960bv |
Isogeny class |
Conductor |
57960 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
65536 |
Modular degree for the optimal curve |
Δ |
6760454400 = 28 · 38 · 52 · 7 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 6 -4 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4287,-107966] |
[a1,a2,a3,a4,a6] |
j |
46689225424/36225 |
j-invariant |
L |
2.3601597636566 |
L(r)(E,1)/r! |
Ω |
0.59003994143246 |
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 |
115920ca1 19320i1 |
Quadratic twists by: -4 -3 |