Atkin-Lehner |
2- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
4288c |
Isogeny class |
Conductor |
4288 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
288 |
Modular degree for the optimal curve |
Δ |
-4288 = -1 · 26 · 67 |
Discriminant |
Eigenvalues |
2- 2 0 4 2 2 7 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3,5] |
[a1,a2,a3,a4,a6] |
j |
-64000/67 |
j-invariant |
L |
3.9770887144273 |
L(r)(E,1)/r! |
Ω |
3.9770887144273 |
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 |
4288e1 2144b1 38592br1 107200cv1 |
Quadratic twists by: -4 8 -3 5 |