Atkin-Lehner |
2+ 3- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
51984j |
Isogeny class |
Conductor |
51984 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
25600 |
Modular degree for the optimal curve |
Δ |
3840162048 = 28 · 37 · 193 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 2 0 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-399,-722] |
[a1,a2,a3,a4,a6] |
j |
5488/3 |
j-invariant |
L |
4.5633117972146 |
L(r)(E,1)/r! |
Ω |
1.1408279494549 |
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 |
25992v1 17328i1 51984k1 |
Quadratic twists by: -4 -3 -19 |