Atkin-Lehner |
2- 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
32144n |
Isogeny class |
Conductor |
32144 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
133056 |
Modular degree for the optimal curve |
Δ |
-1982704887267328 = -1 · 223 · 78 · 41 |
Discriminant |
Eigenvalues |
2- -2 -2 7+ 4 1 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,10176,2108980] |
[a1,a2,a3,a4,a6] |
Generators |
[132:2402:1] |
Generators of the group modulo torsion |
j |
4934783/83968 |
j-invariant |
L |
3.3849617905709 |
L(r)(E,1)/r! |
Ω |
0.34726603706583 |
Real period |
R |
4.8737299782778 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4018l1 128576ce1 32144t1 |
Quadratic twists by: -4 8 -7 |