Atkin-Lehner |
2- 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
20160dm |
Isogeny class |
Conductor |
20160 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
7104137492567162880 = 232 · 39 · 5 · 75 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 4 -6 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2951532,1947510864] |
[a1,a2,a3,a4,a6] |
j |
551105805571803/1376829440 |
j-invariant |
L |
2.3648120810743 |
L(r)(E,1)/r! |
Ω |
0.23648120810743 |
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 |
20160s1 5040x1 20160db1 100800jd1 |
Quadratic twists by: -4 8 -3 5 |