Atkin-Lehner |
2- 3+ 7+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
67536ba |
Isogeny class |
Conductor |
67536 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
3241728 = 28 · 33 · 7 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 4 7+ 2 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7503,-250150] |
[a1,a2,a3,a4,a6] |
j |
6758103240432/469 |
j-invariant |
L |
4.1037491560467 |
L(r)(E,1)/r! |
Ω |
0.51296864502914 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16884e2 67536bb2 |
Quadratic twists by: -4 -3 |