Atkin-Lehner |
2- 3- 5- 89- |
Signs for the Atkin-Lehner involutions |
Class |
32040j |
Isogeny class |
Conductor |
32040 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
655360 |
Modular degree for the optimal curve |
Δ |
4256842410000000000 = 210 · 314 · 510 · 89 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 4 -2 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1826787,945143566] |
[a1,a2,a3,a4,a6] |
Generators |
[-298:38250:1] |
Generators of the group modulo torsion |
j |
903150162226196356/5702431640625 |
j-invariant |
L |
6.9234872058006 |
L(r)(E,1)/r! |
Ω |
0.24744902200405 |
Real period |
R |
2.797944865463 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64080l1 10680b1 |
Quadratic twists by: -4 -3 |