Atkin-Lehner |
2+ 3- 5+ 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
68880p |
Isogeny class |
Conductor |
68880 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
16896 |
Modular degree for the optimal curve |
Δ |
-29756160 = -1 · 28 · 34 · 5 · 7 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 0 0 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-161,-885] |
[a1,a2,a3,a4,a6] |
j |
-1814078464/116235 |
j-invariant |
L |
2.6692716436536 |
L(r)(E,1)/r! |
Ω |
0.66731791251596 |
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 |
34440p1 |
Quadratic twists by: -4 |