Atkin-Lehner |
2+ 3+ 5+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
2010a |
Isogeny class |
Conductor |
2010 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
768 |
Modular degree for the optimal curve |
Δ |
-173664000 = -1 · 28 · 34 · 53 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 4 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,127,-267] |
[a1,a2,a3,a4,a6] |
j |
223759095911/173664000 |
j-invariant |
L |
1.006719813168 |
L(r)(E,1)/r! |
Ω |
1.006719813168 |
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 |
16080u1 64320bk1 6030y1 10050bf1 |
Quadratic twists by: -4 8 -3 5 |